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Finding the Fourth Proportional to 1,058.38, 1,460.56 and 592.63

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Solution

The fourth proportional to 1,058.38, 1,460.56 and 592.63 is: 817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.38 : 1,460.56 = 592.63 : x
  2. Step 2: Convert to fraction form
    1,058.38/1,460.56 = 592.63/x
  3. Step 3: Cross multiply
    1,058.38x = 1,460.56 × 592.63
  4. Step 4: Simplify right side
    1,058.38x = 865,571.67
  5. Step 5: Solve for x
    x = 865,571.67/1,058.38
  6. Step 6: Final answer
    x = 817.83

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Why These Related Problems?

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