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Finding the Fourth Proportional to 1,353.14, 1,867.34 and 732.14

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Solution

The fourth proportional to 1,353.14, 1,867.34 and 732.14 is: 1,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.14 : 1,867.34 = 732.14 : x
  2. Step 2: Convert to fraction form
    1,353.14/1,867.34 = 732.14/x
  3. Step 3: Cross multiply
    1,353.14x = 1,867.34 × 732.14
  4. Step 4: Simplify right side
    1,353.14x = 1,367,151.81
  5. Step 5: Solve for x
    x = 1,367,151.81/1,353.14
  6. Step 6: Final answer
    x = 1,010.35

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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.