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Finding the Fourth Proportional to 1,026.13, 1,537.98 and 592.39

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Solution

The fourth proportional to 1,026.13, 1,537.98 and 592.39 is: 887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.13 : 1,537.98 = 592.39 : x
  2. Step 2: Convert to fraction form
    1,026.13/1,537.98 = 592.39/x
  3. Step 3: Cross multiply
    1,026.13x = 1,537.98 × 592.39
  4. Step 4: Simplify right side
    1,026.13x = 911,083.97
  5. Step 5: Solve for x
    x = 911,083.97/1,026.13
  6. Step 6: Final answer
    x = 887.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.