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Finding the Fourth Proportional to 756.09, 1,041.02 and 686.89

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Solution

The fourth proportional to 756.09, 1,041.02 and 686.89 is: 945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.09 : 1,041.02 = 686.89 : x
  2. Step 2: Convert to fraction form
    756.09/1,041.02 = 686.89/x
  3. Step 3: Cross multiply
    756.09x = 1,041.02 × 686.89
  4. Step 4: Simplify right side
    756.09x = 715,065.34
  5. Step 5: Solve for x
    x = 715,065.34/756.09
  6. Step 6: Final answer
    x = 945.74

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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.