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Finding the Fourth Proportional to 630.90, 870.13 and 543.22

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Solution

The fourth proportional to 630.90, 870.13 and 543.22 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.90 : 870.13 = 543.22 : x
  2. Step 2: Convert to fraction form
    630.90/870.13 = 543.22/x
  3. Step 3: Cross multiply
    630.90x = 870.13 × 543.22
  4. Step 4: Simplify right side
    630.90x = 472,672.02
  5. Step 5: Solve for x
    x = 472,672.02/630.90
  6. Step 6: Final answer
    x = 749.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.