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Finding the Fourth Proportional to 1,024.59, 1,537.07 and 469.33

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Solution

The fourth proportional to 1,024.59, 1,537.07 and 469.33 is: 704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.59 : 1,537.07 = 469.33 : x
  2. Step 2: Convert to fraction form
    1,024.59/1,537.07 = 469.33/x
  3. Step 3: Cross multiply
    1,024.59x = 1,537.07 × 469.33
  4. Step 4: Simplify right side
    1,024.59x = 721,393.06
  5. Step 5: Solve for x
    x = 721,393.06/1,024.59
  6. Step 6: Final answer
    x = 704.08

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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.