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Finding the Fourth Proportional to 1,170.76, 1,615.66 and 646.80

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Solution

The fourth proportional to 1,170.76, 1,615.66 and 646.80 is: 892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.76 : 1,615.66 = 646.80 : x
  2. Step 2: Convert to fraction form
    1,170.76/1,615.66 = 646.80/x
  3. Step 3: Cross multiply
    1,170.76x = 1,615.66 × 646.80
  4. Step 4: Simplify right side
    1,170.76x = 1,045,008.89
  5. Step 5: Solve for x
    x = 1,045,008.89/1,170.76
  6. Step 6: Final answer
    x = 892.59

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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.