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Finding the Fourth Proportional to 1,357.29, 2,036.08 and 432.52

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Solution

The fourth proportional to 1,357.29, 2,036.08 and 432.52 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.29 : 2,036.08 = 432.52 : x
  2. Step 2: Convert to fraction form
    1,357.29/2,036.08 = 432.52/x
  3. Step 3: Cross multiply
    1,357.29x = 2,036.08 × 432.52
  4. Step 4: Simplify right side
    1,357.29x = 880,645.32
  5. Step 5: Solve for x
    x = 880,645.32/1,357.29
  6. Step 6: Final answer
    x = 648.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.