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Finding the Fourth Proportional to 1,412.34, 2,117.61 and 632.58

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Solution

The fourth proportional to 1,412.34, 2,117.61 and 632.58 is: 948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.34 : 2,117.61 = 632.58 : x
  2. Step 2: Convert to fraction form
    1,412.34/2,117.61 = 632.58/x
  3. Step 3: Cross multiply
    1,412.34x = 2,117.61 × 632.58
  4. Step 4: Simplify right side
    1,412.34x = 1,339,557.73
  5. Step 5: Solve for x
    x = 1,339,557.73/1,412.34
  6. Step 6: Final answer
    x = 948.47

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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.