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Finding the Fourth Proportional to 630.70, 871.07 and 562.02

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Solution

The fourth proportional to 630.70, 871.07 and 562.02 is: 776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.70 : 871.07 = 562.02 : x
  2. Step 2: Convert to fraction form
    630.70/871.07 = 562.02/x
  3. Step 3: Cross multiply
    630.70x = 871.07 × 562.02
  4. Step 4: Simplify right side
    630.70x = 489,558.76
  5. Step 5: Solve for x
    x = 489,558.76/630.70
  6. Step 6: Final answer
    x = 776.21

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Why These Related Problems?

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