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Finding the Fourth Proportional to 1,032.69, 1,549.06 and 383.43

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Solution

The fourth proportional to 1,032.69, 1,549.06 and 383.43 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.69 : 1,549.06 = 383.43 : x
  2. Step 2: Convert to fraction form
    1,032.69/1,549.06 = 383.43/x
  3. Step 3: Cross multiply
    1,032.69x = 1,549.06 × 383.43
  4. Step 4: Simplify right side
    1,032.69x = 593,956.08
  5. Step 5: Solve for x
    x = 593,956.08/1,032.69
  6. Step 6: Final answer
    x = 575.15

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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.