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Finding the Fourth Proportional to 1,458.76, 2,188.14 and 433.48

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Solution

The fourth proportional to 1,458.76, 2,188.14 and 433.48 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.76 : 2,188.14 = 433.48 : x
  2. Step 2: Convert to fraction form
    1,458.76/2,188.14 = 433.48/x
  3. Step 3: Cross multiply
    1,458.76x = 2,188.14 × 433.48
  4. Step 4: Simplify right side
    1,458.76x = 948,514.93
  5. Step 5: Solve for x
    x = 948,514.93/1,458.76
  6. Step 6: Final answer
    x = 650.22

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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.