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Finding the Fourth Proportional to 1,353.66, 2,030.70 and 429.13

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Solution

The fourth proportional to 1,353.66, 2,030.70 and 429.13 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.66 : 2,030.70 = 429.13 : x
  2. Step 2: Convert to fraction form
    1,353.66/2,030.70 = 429.13/x
  3. Step 3: Cross multiply
    1,353.66x = 2,030.70 × 429.13
  4. Step 4: Simplify right side
    1,353.66x = 871,434.29
  5. Step 5: Solve for x
    x = 871,434.29/1,353.66
  6. Step 6: Final answer
    x = 643.76

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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.