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Finding the Fourth Proportional to 1,064.76, 1,597.16 and 487.52

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Solution

The fourth proportional to 1,064.76, 1,597.16 and 487.52 is: 731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.76 : 1,597.16 = 487.52 : x
  2. Step 2: Convert to fraction form
    1,064.76/1,597.16 = 487.52/x
  3. Step 3: Cross multiply
    1,064.76x = 1,597.16 × 487.52
  4. Step 4: Simplify right side
    1,064.76x = 778,647.44
  5. Step 5: Solve for x
    x = 778,647.44/1,064.76
  6. Step 6: Final answer
    x = 731.29

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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.