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Finding the Fourth Proportional to 1,335.78, 2,002.26 and 458.01

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Solution

The fourth proportional to 1,335.78, 2,002.26 and 458.01 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.78 : 2,002.26 = 458.01 : x
  2. Step 2: Convert to fraction form
    1,335.78/2,002.26 = 458.01/x
  3. Step 3: Cross multiply
    1,335.78x = 2,002.26 × 458.01
  4. Step 4: Simplify right side
    1,335.78x = 917,055.10
  5. Step 5: Solve for x
    x = 917,055.10/1,335.78
  6. Step 6: Final answer
    x = 686.53

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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.