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Finding the Fourth Proportional to 748.45, 1,117.02 and 729.01

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Solution

The fourth proportional to 748.45, 1,117.02 and 729.01 is: 1,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.45 : 1,117.02 = 729.01 : x
  2. Step 2: Convert to fraction form
    748.45/1,117.02 = 729.01/x
  3. Step 3: Cross multiply
    748.45x = 1,117.02 × 729.01
  4. Step 4: Simplify right side
    748.45x = 814,309.52
  5. Step 5: Solve for x
    x = 814,309.52/748.45
  6. Step 6: Final answer
    x = 1,088.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.