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Finding the Fourth Proportional to 1,058, 1,460.12 and 592.28

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Solution

The fourth proportional to 1,058, 1,460.12 and 592.28 is: 817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058 : 1,460.12 = 592.28 : x
  2. Step 2: Convert to fraction form
    1,058/1,460.12 = 592.28/x
  3. Step 3: Cross multiply
    1,058x = 1,460.12 × 592.28
  4. Step 4: Simplify right side
    1,058x = 864,799.87
  5. Step 5: Solve for x
    x = 864,799.87/1,058
  6. Step 6: Final answer
    x = 817.39

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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.