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Finding the Fourth Proportional to 1,058.80, 1,461.08 and 593.06

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Solution

The fourth proportional to 1,058.80, 1,461.08 and 593.06 is: 818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.80 : 1,461.08 = 593.06 : x
  2. Step 2: Convert to fraction form
    1,058.80/1,461.08 = 593.06/x
  3. Step 3: Cross multiply
    1,058.80x = 1,461.08 × 593.06
  4. Step 4: Simplify right side
    1,058.80x = 866,508.10
  5. Step 5: Solve for x
    x = 866,508.10/1,058.80
  6. Step 6: Final answer
    x = 818.39

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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.