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Finding the Fourth Proportional to 1,058, 1,460.08 and 592.32

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Solution

The fourth proportional to 1,058, 1,460.08 and 592.32 is: 817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058 : 1,460.08 = 592.32 : x
  2. Step 2: Convert to fraction form
    1,058/1,460.08 = 592.32/x
  3. Step 3: Cross multiply
    1,058x = 1,460.08 × 592.32
  4. Step 4: Simplify right side
    1,058x = 864,834.59
  5. Step 5: Solve for x
    x = 864,834.59/1,058
  6. Step 6: Final answer
    x = 817.42

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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.