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Finding the Fourth Proportional to 1,353.54, 2,030.42 and 429.17

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Solution

The fourth proportional to 1,353.54, 2,030.42 and 429.17 is: 643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.54 : 2,030.42 = 429.17 : x
  2. Step 2: Convert to fraction form
    1,353.54/2,030.42 = 429.17/x
  3. Step 3: Cross multiply
    1,353.54x = 2,030.42 × 429.17
  4. Step 4: Simplify right side
    1,353.54x = 871,395.35
  5. Step 5: Solve for x
    x = 871,395.35/1,353.54
  6. Step 6: Final answer
    x = 643.79

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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.