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Finding the Fourth Proportional to 947.08, 1,307.10 and 598.78

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Solution

The fourth proportional to 947.08, 1,307.10 and 598.78 is: 826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.08 : 1,307.10 = 598.78 : x
  2. Step 2: Convert to fraction form
    947.08/1,307.10 = 598.78/x
  3. Step 3: Cross multiply
    947.08x = 1,307.10 × 598.78
  4. Step 4: Simplify right side
    947.08x = 782,665.34
  5. Step 5: Solve for x
    x = 782,665.34/947.08
  6. Step 6: Final answer
    x = 826.40

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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.