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Finding the Fourth Proportional to 1,412.96, 2,117.61 and 632.39

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Solution

The fourth proportional to 1,412.96, 2,117.61 and 632.39 is: 947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.96 : 2,117.61 = 632.39 : x
  2. Step 2: Convert to fraction form
    1,412.96/2,117.61 = 632.39/x
  3. Step 3: Cross multiply
    1,412.96x = 2,117.61 × 632.39
  4. Step 4: Simplify right side
    1,412.96x = 1,339,144.80
  5. Step 5: Solve for x
    x = 1,339,144.80/1,412.96
  6. Step 6: Final answer
    x = 947.76

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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.