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Finding the Fourth Proportional to 1,031.90, 1,548.05 and 382.64

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Solution

The fourth proportional to 1,031.90, 1,548.05 and 382.64 is: 574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.90 : 1,548.05 = 382.64 : x
  2. Step 2: Convert to fraction form
    1,031.90/1,548.05 = 382.64/x
  3. Step 3: Cross multiply
    1,031.90x = 1,548.05 × 382.64
  4. Step 4: Simplify right side
    1,031.90x = 592,345.85
  5. Step 5: Solve for x
    x = 592,345.85/1,031.90
  6. Step 6: Final answer
    x = 574.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.