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Finding the Fourth Proportional to 710.96, 975.89 and 630.57

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Solution

The fourth proportional to 710.96, 975.89 and 630.57 is: 865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.96 : 975.89 = 630.57 : x
  2. Step 2: Convert to fraction form
    710.96/975.89 = 630.57/x
  3. Step 3: Cross multiply
    710.96x = 975.89 × 630.57
  4. Step 4: Simplify right side
    710.96x = 615,363.80
  5. Step 5: Solve for x
    x = 615,363.80/710.96
  6. Step 6: Final answer
    x = 865.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.