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Finding the Fourth Proportional to 1,532.54, 2,298.14 and 436.66

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Solution

The fourth proportional to 1,532.54, 2,298.14 and 436.66 is: 654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.54 : 2,298.14 = 436.66 : x
  2. Step 2: Convert to fraction form
    1,532.54/2,298.14 = 436.66/x
  3. Step 3: Cross multiply
    1,532.54x = 2,298.14 × 436.66
  4. Step 4: Simplify right side
    1,532.54x = 1,003,499.52
  5. Step 5: Solve for x
    x = 1,003,499.52/1,532.54
  6. Step 6: Final answer
    x = 654.79

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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.