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Finding the Fourth Proportional to 756.48, 1,129.20 and 648.96

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Solution

The fourth proportional to 756.48, 1,129.20 and 648.96 is: 968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.48 : 1,129.20 = 648.96 : x
  2. Step 2: Convert to fraction form
    756.48/1,129.20 = 648.96/x
  3. Step 3: Cross multiply
    756.48x = 1,129.20 × 648.96
  4. Step 4: Simplify right side
    756.48x = 732,805.63
  5. Step 5: Solve for x
    x = 732,805.63/756.48
  6. Step 6: Final answer
    x = 968.70

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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.