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Finding the Fourth Proportional to 1,506.63, 2,259.65 and 410.73

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Solution

The fourth proportional to 1,506.63, 2,259.65 and 410.73 is: 616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.63 : 2,259.65 = 410.73 : x
  2. Step 2: Convert to fraction form
    1,506.63/2,259.65 = 410.73/x
  3. Step 3: Cross multiply
    1,506.63x = 2,259.65 × 410.73
  4. Step 4: Simplify right side
    1,506.63x = 928,109.00
  5. Step 5: Solve for x
    x = 928,109.00/1,506.63
  6. Step 6: Final answer
    x = 616.02

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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.