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Finding the Fourth Proportional to 1,031.15, 1,547.42 and 381.89

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Solution

The fourth proportional to 1,031.15, 1,547.42 and 381.89 is: 573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.15 : 1,547.42 = 381.89 : x
  2. Step 2: Convert to fraction form
    1,031.15/1,547.42 = 381.89/x
  3. Step 3: Cross multiply
    1,031.15x = 1,547.42 × 381.89
  4. Step 4: Simplify right side
    1,031.15x = 590,934.58
  5. Step 5: Solve for x
    x = 590,934.58/1,031.15
  6. Step 6: Final answer
    x = 573.09

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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.