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Finding the Fourth Proportional to 1,024.16, 1,536.78 and 476.20

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Solution

The fourth proportional to 1,024.16, 1,536.78 and 476.20 is: 714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.16 : 1,536.78 = 476.20 : x
  2. Step 2: Convert to fraction form
    1,024.16/1,536.78 = 476.20/x
  3. Step 3: Cross multiply
    1,024.16x = 1,536.78 × 476.20
  4. Step 4: Simplify right side
    1,024.16x = 731,806.95
  5. Step 5: Solve for x
    x = 731,806.95/1,024.16
  6. Step 6: Final answer
    x = 714.54

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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.