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Finding the Fourth Proportional to 1,165.17, 1,747.12 and 578.88

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Solution

The fourth proportional to 1,165.17, 1,747.12 and 578.88 is: 868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.17 : 1,747.12 = 578.88 : x
  2. Step 2: Convert to fraction form
    1,165.17/1,747.12 = 578.88/x
  3. Step 3: Cross multiply
    1,165.17x = 1,747.12 × 578.88
  4. Step 4: Simplify right side
    1,165.17x = 1,011,369.93
  5. Step 5: Solve for x
    x = 1,011,369.93/1,165.17
  6. Step 6: Final answer
    x = 868.01

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1.5x scale

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.