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Finding the Fourth Proportional to 1,142.84, 1,713.66 and 565

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Solution

The fourth proportional to 1,142.84, 1,713.66 and 565 is: 847.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.84 : 1,713.66 = 565 : x
  2. Step 2: Convert to fraction form
    1,142.84/1,713.66 = 565/x
  3. Step 3: Cross multiply
    1,142.84x = 1,713.66 × 565
  4. Step 4: Simplify right side
    1,142.84x = 968,217.90
  5. Step 5: Solve for x
    x = 968,217.90/1,142.84
  6. Step 6: Final answer
    x = 847.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.