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Finding the Fourth Proportional to 783.29, 1,169.15 and 691.07

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Solution

The fourth proportional to 783.29, 1,169.15 and 691.07 is: 1,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.29 : 1,169.15 = 691.07 : x
  2. Step 2: Convert to fraction form
    783.29/1,169.15 = 691.07/x
  3. Step 3: Cross multiply
    783.29x = 1,169.15 × 691.07
  4. Step 4: Simplify right side
    783.29x = 807,955.19
  5. Step 5: Solve for x
    x = 807,955.19/783.29
  6. Step 6: Final answer
    x = 1,031.49

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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.