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Finding the Fourth Proportional to 1,031.21, 1,547.42 and 382.40

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Solution

The fourth proportional to 1,031.21, 1,547.42 and 382.40 is: 573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.21 : 1,547.42 = 382.40 : x
  2. Step 2: Convert to fraction form
    1,031.21/1,547.42 = 382.40/x
  3. Step 3: Cross multiply
    1,031.21x = 1,547.42 × 382.40
  4. Step 4: Simplify right side
    1,031.21x = 591,733.41
  5. Step 5: Solve for x
    x = 591,733.41/1,031.21
  6. Step 6: Final answer
    x = 573.82

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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.