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Finding the Fourth Proportional to 1,058.33, 1,460.50 and 592.58

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Solution

The fourth proportional to 1,058.33, 1,460.50 and 592.58 is: 817.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.33 : 1,460.50 = 592.58 : x
  2. Step 2: Convert to fraction form
    1,058.33/1,460.50 = 592.58/x
  3. Step 3: Cross multiply
    1,058.33x = 1,460.50 × 592.58
  4. Step 4: Simplify right side
    1,058.33x = 865,456.48
  5. Step 5: Solve for x
    x = 865,456.48/1,058.33
  6. Step 6: Final answer
    x = 817.76

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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.