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Finding the Fourth Proportional to 1,031.74, 1,547.30 and 382.46

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Solution

The fourth proportional to 1,031.74, 1,547.30 and 382.46 is: 573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.74 : 1,547.30 = 382.46 : x
  2. Step 2: Convert to fraction form
    1,031.74/1,547.30 = 382.46/x
  3. Step 3: Cross multiply
    1,031.74x = 1,547.30 × 382.46
  4. Step 4: Simplify right side
    1,031.74x = 591,773.58
  5. Step 5: Solve for x
    x = 591,773.58/1,031.74
  6. Step 6: Final answer
    x = 573.57

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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.