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Finding the Fourth Proportional to 663.49, 907.10 and 637.98

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Solution

The fourth proportional to 663.49, 907.10 and 637.98 is: 872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.49 : 907.10 = 637.98 : x
  2. Step 2: Convert to fraction form
    663.49/907.10 = 637.98/x
  3. Step 3: Cross multiply
    663.49x = 907.10 × 637.98
  4. Step 4: Simplify right side
    663.49x = 578,707.46
  5. Step 5: Solve for x
    x = 578,707.46/663.49
  6. Step 6: Final answer
    x = 872.22

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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.