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Finding the Fourth Proportional to 1,031.50, 1,547.70 and 382.06

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Solution

The fourth proportional to 1,031.50, 1,547.70 and 382.06 is: 573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.50 : 1,547.70 = 382.06 : x
  2. Step 2: Convert to fraction form
    1,031.50/1,547.70 = 382.06/x
  3. Step 3: Cross multiply
    1,031.50x = 1,547.70 × 382.06
  4. Step 4: Simplify right side
    1,031.50x = 591,314.26
  5. Step 5: Solve for x
    x = 591,314.26/1,031.50
  6. Step 6: Final answer
    x = 573.26

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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.