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Finding the Fourth Proportional to 747.07, 1,120.64 and 260.11

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Solution

The fourth proportional to 747.07, 1,120.64 and 260.11 is: 390.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.07 : 1,120.64 = 260.11 : x
  2. Step 2: Convert to fraction form
    747.07/1,120.64 = 260.11/x
  3. Step 3: Cross multiply
    747.07x = 1,120.64 × 260.11
  4. Step 4: Simplify right side
    747.07x = 291,489.77
  5. Step 5: Solve for x
    x = 291,489.77/747.07
  6. Step 6: Final answer
    x = 390.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.