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Finding the Fourth Proportional to 947.23, 1,307.16 and 527.60

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Solution

The fourth proportional to 947.23, 1,307.16 and 527.60 is: 728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.23 : 1,307.16 = 527.60 : x
  2. Step 2: Convert to fraction form
    947.23/1,307.16 = 527.60/x
  3. Step 3: Cross multiply
    947.23x = 1,307.16 × 527.60
  4. Step 4: Simplify right side
    947.23x = 689,657.62
  5. Step 5: Solve for x
    x = 689,657.62/947.23
  6. Step 6: Final answer
    x = 728.08

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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.