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Finding the Fourth Proportional to 882.89, 1,218.60 and 588.45

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Solution

The fourth proportional to 882.89, 1,218.60 and 588.45 is: 812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.89 : 1,218.60 = 588.45 : x
  2. Step 2: Convert to fraction form
    882.89/1,218.60 = 588.45/x
  3. Step 3: Cross multiply
    882.89x = 1,218.60 × 588.45
  4. Step 4: Simplify right side
    882.89x = 717,085.17
  5. Step 5: Solve for x
    x = 717,085.17/882.89
  6. Step 6: Final answer
    x = 812.21

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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.