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Finding the Fourth Proportional to 951.07, 1,312.47 and 537.07

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Solution

The fourth proportional to 951.07, 1,312.47 and 537.07 is: 741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.07 : 1,312.47 = 537.07 : x
  2. Step 2: Convert to fraction form
    951.07/1,312.47 = 537.07/x
  3. Step 3: Cross multiply
    951.07x = 1,312.47 × 537.07
  4. Step 4: Simplify right side
    951.07x = 704,879.02
  5. Step 5: Solve for x
    x = 704,879.02/951.07
  6. Step 6: Final answer
    x = 741.15

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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.