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Finding the Fourth Proportional to 1,058.64, 1,460.82 and 592.92

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Solution

The fourth proportional to 1,058.64, 1,460.82 and 592.92 is: 818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.64 : 1,460.82 = 592.92 : x
  2. Step 2: Convert to fraction form
    1,058.64/1,460.82 = 592.92/x
  3. Step 3: Cross multiply
    1,058.64x = 1,460.82 × 592.92
  4. Step 4: Simplify right side
    1,058.64x = 866,149.39
  5. Step 5: Solve for x
    x = 866,149.39/1,058.64
  6. Step 6: Final answer
    x = 818.17

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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.