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Finding the Fourth Proportional to 1,432.35, 2,148.75 and 610.63

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Solution

The fourth proportional to 1,432.35, 2,148.75 and 610.63 is: 916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.35 : 2,148.75 = 610.63 : x
  2. Step 2: Convert to fraction form
    1,432.35/2,148.75 = 610.63/x
  3. Step 3: Cross multiply
    1,432.35x = 2,148.75 × 610.63
  4. Step 4: Simplify right side
    1,432.35x = 1,312,078.94
  5. Step 5: Solve for x
    x = 1,312,078.94/1,432.35
  6. Step 6: Final answer
    x = 916.03

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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.