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Finding the Fourth Proportional to 947.10, 1,307.08 and 527.60

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Solution

The fourth proportional to 947.10, 1,307.08 and 527.60 is: 728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.10 : 1,307.08 = 527.60 : x
  2. Step 2: Convert to fraction form
    947.10/1,307.08 = 527.60/x
  3. Step 3: Cross multiply
    947.10x = 1,307.08 × 527.60
  4. Step 4: Simplify right side
    947.10x = 689,615.41
  5. Step 5: Solve for x
    x = 689,615.41/947.10
  6. Step 6: Final answer
    x = 728.13

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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.