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Finding the Fourth Proportional to 1,548.59, 2,322.14 and 452.66

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Solution

The fourth proportional to 1,548.59, 2,322.14 and 452.66 is: 678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.59 : 2,322.14 = 452.66 : x
  2. Step 2: Convert to fraction form
    1,548.59/2,322.14 = 452.66/x
  3. Step 3: Cross multiply
    1,548.59x = 2,322.14 × 452.66
  4. Step 4: Simplify right side
    1,548.59x = 1,051,126.02
  5. Step 5: Solve for x
    x = 1,051,126.02/1,548.59
  6. Step 6: Final answer
    x = 678.77

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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.