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Finding the Fourth Proportional to 882.77, 1,217.66 and 588.06

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Solution

The fourth proportional to 882.77, 1,217.66 and 588.06 is: 811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.77 : 1,217.66 = 588.06 : x
  2. Step 2: Convert to fraction form
    882.77/1,217.66 = 588.06/x
  3. Step 3: Cross multiply
    882.77x = 1,217.66 × 588.06
  4. Step 4: Simplify right side
    882.77x = 716,054.20
  5. Step 5: Solve for x
    x = 716,054.20/882.77
  6. Step 6: Final answer
    x = 811.15

Related Problems

Find fourth proportional to 441.38, 608.83 and 294.03
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.