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Finding the Fourth Proportional to 865.76, 1,301.32 and 501.28

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Solution

The fourth proportional to 865.76, 1,301.32 and 501.28 is: 753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.76 : 1,301.32 = 501.28 : x
  2. Step 2: Convert to fraction form
    865.76/1,301.32 = 501.28/x
  3. Step 3: Cross multiply
    865.76x = 1,301.32 × 501.28
  4. Step 4: Simplify right side
    865.76x = 652,325.69
  5. Step 5: Solve for x
    x = 652,325.69/865.76
  6. Step 6: Final answer
    x = 753.47

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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.