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Finding the Fourth Proportional to 1,549.15, 2,322.64 and 574.99

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Solution

The fourth proportional to 1,549.15, 2,322.64 and 574.99 is: 862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.15 : 2,322.64 = 574.99 : x
  2. Step 2: Convert to fraction form
    1,549.15/2,322.64 = 574.99/x
  3. Step 3: Cross multiply
    1,549.15x = 2,322.64 × 574.99
  4. Step 4: Simplify right side
    1,549.15x = 1,335,494.77
  5. Step 5: Solve for x
    x = 1,335,494.77/1,549.15
  6. Step 6: Final answer
    x = 862.08

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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.