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Finding the Fourth Proportional to 1,058.98, 1,461.38 and 593.23

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Solution

The fourth proportional to 1,058.98, 1,461.38 and 593.23 is: 818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.98 : 1,461.38 = 593.23 : x
  2. Step 2: Convert to fraction form
    1,058.98/1,461.38 = 593.23/x
  3. Step 3: Cross multiply
    1,058.98x = 1,461.38 × 593.23
  4. Step 4: Simplify right side
    1,058.98x = 866,934.46
  5. Step 5: Solve for x
    x = 866,934.46/1,058.98
  6. Step 6: Final answer
    x = 818.65

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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.