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Finding the Fourth Proportional to 1,549.14, 2,323.98 and 575.25

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Solution

The fourth proportional to 1,549.14, 2,323.98 and 575.25 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.14 : 2,323.98 = 575.25 : x
  2. Step 2: Convert to fraction form
    1,549.14/2,323.98 = 575.25/x
  3. Step 3: Cross multiply
    1,549.14x = 2,323.98 × 575.25
  4. Step 4: Simplify right side
    1,549.14x = 1,336,869.50
  5. Step 5: Solve for x
    x = 1,336,869.50/1,549.14
  6. Step 6: Final answer
    x = 862.98

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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.