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Finding the Fourth Proportional to 1,506.53, 2,259.81 and 410.90

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Solution

The fourth proportional to 1,506.53, 2,259.81 and 410.90 is: 616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.53 : 2,259.81 = 410.90 : x
  2. Step 2: Convert to fraction form
    1,506.53/2,259.81 = 410.90/x
  3. Step 3: Cross multiply
    1,506.53x = 2,259.81 × 410.90
  4. Step 4: Simplify right side
    1,506.53x = 928,553.87
  5. Step 5: Solve for x
    x = 928,553.87/1,506.53
  6. Step 6: Final answer
    x = 616.35

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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.