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Finding the Fourth Proportional to 1,058.42, 1,589.51 and 922.34

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Solution

The fourth proportional to 1,058.42, 1,589.51 and 922.34 is: 1,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.42 : 1,589.51 = 922.34 : x
  2. Step 2: Convert to fraction form
    1,058.42/1,589.51 = 922.34/x
  3. Step 3: Cross multiply
    1,058.42x = 1,589.51 × 922.34
  4. Step 4: Simplify right side
    1,058.42x = 1,466,068.65
  5. Step 5: Solve for x
    x = 1,466,068.65/1,058.42
  6. Step 6: Final answer
    x = 1,385.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.