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Finding the Fourth Proportional to 1,058.31, 1,460.48 and 592.59

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Solution

The fourth proportional to 1,058.31, 1,460.48 and 592.59 is: 817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.31 : 1,460.48 = 592.59 : x
  2. Step 2: Convert to fraction form
    1,058.31/1,460.48 = 592.59/x
  3. Step 3: Cross multiply
    1,058.31x = 1,460.48 × 592.59
  4. Step 4: Simplify right side
    1,058.31x = 865,462.88
  5. Step 5: Solve for x
    x = 865,462.88/1,058.31
  6. Step 6: Final answer
    x = 817.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.