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Finding the Fourth Proportional to 1,506.60, 2,259.92 and 411.05

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Solution

The fourth proportional to 1,506.60, 2,259.92 and 411.05 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.60 : 2,259.92 = 411.05 : x
  2. Step 2: Convert to fraction form
    1,506.60/2,259.92 = 411.05/x
  3. Step 3: Cross multiply
    1,506.60x = 2,259.92 × 411.05
  4. Step 4: Simplify right side
    1,506.60x = 928,946.79
  5. Step 5: Solve for x
    x = 928,946.79/1,506.60
  6. Step 6: Final answer
    x = 616.58

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Why These Related Problems?

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