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Finding the Fourth Proportional to 1,354.16, 2,032.65 and 739.10

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Solution

The fourth proportional to 1,354.16, 2,032.65 and 739.10 is: 1,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.16 : 2,032.65 = 739.10 : x
  2. Step 2: Convert to fraction form
    1,354.16/2,032.65 = 739.10/x
  3. Step 3: Cross multiply
    1,354.16x = 2,032.65 × 739.10
  4. Step 4: Simplify right side
    1,354.16x = 1,502,321.45
  5. Step 5: Solve for x
    x = 1,502,321.45/1,354.16
  6. Step 6: Final answer
    x = 1,109.42

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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.