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Finding the Fourth Proportional to 1,058.42, 1,460.70 and 616.46

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Solution

The fourth proportional to 1,058.42, 1,460.70 and 616.46 is: 850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.42 : 1,460.70 = 616.46 : x
  2. Step 2: Convert to fraction form
    1,058.42/1,460.70 = 616.46/x
  3. Step 3: Cross multiply
    1,058.42x = 1,460.70 × 616.46
  4. Step 4: Simplify right side
    1,058.42x = 900,463.12
  5. Step 5: Solve for x
    x = 900,463.12/1,058.42
  6. Step 6: Final answer
    x = 850.76

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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.