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Finding the Fourth Proportional to 1,374.71, 2,058.01 and 853.03

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Solution

The fourth proportional to 1,374.71, 2,058.01 and 853.03 is: 1,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.71 : 2,058.01 = 853.03 : x
  2. Step 2: Convert to fraction form
    1,374.71/2,058.01 = 853.03/x
  3. Step 3: Cross multiply
    1,374.71x = 2,058.01 × 853.03
  4. Step 4: Simplify right side
    1,374.71x = 1,755,549.51
  5. Step 5: Solve for x
    x = 1,755,549.51/1,374.71
  6. Step 6: Final answer
    x = 1,277.04

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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.