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Finding the Fourth Proportional to 1,031.42, 1,547.40 and 382.22

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Solution

The fourth proportional to 1,031.42, 1,547.40 and 382.22 is: 573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.42 : 1,547.40 = 382.22 : x
  2. Step 2: Convert to fraction form
    1,031.42/1,547.40 = 382.22/x
  3. Step 3: Cross multiply
    1,031.42x = 1,547.40 × 382.22
  4. Step 4: Simplify right side
    1,031.42x = 591,447.23
  5. Step 5: Solve for x
    x = 591,447.23/1,031.42
  6. Step 6: Final answer
    x = 573.43

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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.