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Finding the Fourth Proportional to 1,058.69, 1,460.96 and 616.74

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Solution

The fourth proportional to 1,058.69, 1,460.96 and 616.74 is: 851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.69 : 1,460.96 = 616.74 : x
  2. Step 2: Convert to fraction form
    1,058.69/1,460.96 = 616.74/x
  3. Step 3: Cross multiply
    1,058.69x = 1,460.96 × 616.74
  4. Step 4: Simplify right side
    1,058.69x = 901,032.47
  5. Step 5: Solve for x
    x = 901,032.47/1,058.69
  6. Step 6: Final answer
    x = 851.08

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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.