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Finding the Fourth Proportional to 964.78, 1,331.35 and 545.14

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Solution

The fourth proportional to 964.78, 1,331.35 and 545.14 is: 752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.78 : 1,331.35 = 545.14 : x
  2. Step 2: Convert to fraction form
    964.78/1,331.35 = 545.14/x
  3. Step 3: Cross multiply
    964.78x = 1,331.35 × 545.14
  4. Step 4: Simplify right side
    964.78x = 725,762.76
  5. Step 5: Solve for x
    x = 725,762.76/964.78
  6. Step 6: Final answer
    x = 752.26

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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.