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Finding the Fourth Proportional to 748.81, 1,033.64 and 469

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Solution

The fourth proportional to 748.81, 1,033.64 and 469 is: 647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.81 : 1,033.64 = 469 : x
  2. Step 2: Convert to fraction form
    748.81/1,033.64 = 469/x
  3. Step 3: Cross multiply
    748.81x = 1,033.64 × 469
  4. Step 4: Simplify right side
    748.81x = 484,777.16
  5. Step 5: Solve for x
    x = 484,777.16/748.81
  6. Step 6: Final answer
    x = 647.40

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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.