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Finding the Fourth Proportional to 1,353.70, 1,869.24 and 1,058.86

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Solution

The fourth proportional to 1,353.70, 1,869.24 and 1,058.86 is: 1,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.70 : 1,869.24 = 1,058.86 : x
  2. Step 2: Convert to fraction form
    1,353.70/1,869.24 = 1,058.86/x
  3. Step 3: Cross multiply
    1,353.70x = 1,869.24 × 1,058.86
  4. Step 4: Simplify right side
    1,353.70x = 1,979,263.47
  5. Step 5: Solve for x
    x = 1,979,263.47/1,353.70
  6. Step 6: Final answer
    x = 1,462.11

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1.5x scale

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.