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Finding the Fourth Proportional to 1,126.32, 1,690.50 and 578.88

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Solution

The fourth proportional to 1,126.32, 1,690.50 and 578.88 is: 868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.32 : 1,690.50 = 578.88 : x
  2. Step 2: Convert to fraction form
    1,126.32/1,690.50 = 578.88/x
  3. Step 3: Cross multiply
    1,126.32x = 1,690.50 × 578.88
  4. Step 4: Simplify right side
    1,126.32x = 978,596.64
  5. Step 5: Solve for x
    x = 978,596.64/1,126.32
  6. Step 6: Final answer
    x = 868.84

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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.