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Finding the Fourth Proportional to 1,403.57, 2,105.35 and 429.74

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Solution

The fourth proportional to 1,403.57, 2,105.35 and 429.74 is: 644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.57 : 2,105.35 = 429.74 : x
  2. Step 2: Convert to fraction form
    1,403.57/2,105.35 = 429.74/x
  3. Step 3: Cross multiply
    1,403.57x = 2,105.35 × 429.74
  4. Step 4: Simplify right side
    1,403.57x = 904,753.11
  5. Step 5: Solve for x
    x = 904,753.11/1,403.57
  6. Step 6: Final answer
    x = 644.61

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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.