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Finding the Fourth Proportional to 1,024.29, 1,534.30 and 657.23

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Solution

The fourth proportional to 1,024.29, 1,534.30 and 657.23 is: 984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.29 : 1,534.30 = 657.23 : x
  2. Step 2: Convert to fraction form
    1,024.29/1,534.30 = 657.23/x
  3. Step 3: Cross multiply
    1,024.29x = 1,534.30 × 657.23
  4. Step 4: Simplify right side
    1,024.29x = 1,008,378.67
  5. Step 5: Solve for x
    x = 1,008,378.67/1,024.29
  6. Step 6: Final answer
    x = 984.47

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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.