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Finding the Fourth Proportional to 1,432.65, 2,148.69 and 611.01

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Solution

The fourth proportional to 1,432.65, 2,148.69 and 611.01 is: 916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.65 : 2,148.69 = 611.01 : x
  2. Step 2: Convert to fraction form
    1,432.65/2,148.69 = 611.01/x
  3. Step 3: Cross multiply
    1,432.65x = 2,148.69 × 611.01
  4. Step 4: Simplify right side
    1,432.65x = 1,312,871.08
  5. Step 5: Solve for x
    x = 1,312,871.08/1,432.65
  6. Step 6: Final answer
    x = 916.39

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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.