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Finding the Fourth Proportional to 1,032.42, 1,549.25 and 383.61

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Solution

The fourth proportional to 1,032.42, 1,549.25 and 383.61 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.42 : 1,549.25 = 383.61 : x
  2. Step 2: Convert to fraction form
    1,032.42/1,549.25 = 383.61/x
  3. Step 3: Cross multiply
    1,032.42x = 1,549.25 × 383.61
  4. Step 4: Simplify right side
    1,032.42x = 594,305.87
  5. Step 5: Solve for x
    x = 594,305.87/1,032.42
  6. Step 6: Final answer
    x = 575.64

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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.