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Finding the Fourth Proportional to 747.13, 1,030.74 and 510.70

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Solution

The fourth proportional to 747.13, 1,030.74 and 510.70 is: 704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.13 : 1,030.74 = 510.70 : x
  2. Step 2: Convert to fraction form
    747.13/1,030.74 = 510.70/x
  3. Step 3: Cross multiply
    747.13x = 1,030.74 × 510.70
  4. Step 4: Simplify right side
    747.13x = 526,398.92
  5. Step 5: Solve for x
    x = 526,398.92/747.13
  6. Step 6: Final answer
    x = 704.56

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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.