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Finding the Fourth Proportional to 1,353.59, 2,030.35 and 429.02

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Solution

The fourth proportional to 1,353.59, 2,030.35 and 429.02 is: 643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.59 : 2,030.35 = 429.02 : x
  2. Step 2: Convert to fraction form
    1,353.59/2,030.35 = 429.02/x
  3. Step 3: Cross multiply
    1,353.59x = 2,030.35 × 429.02
  4. Step 4: Simplify right side
    1,353.59x = 871,060.76
  5. Step 5: Solve for x
    x = 871,060.76/1,353.59
  6. Step 6: Final answer
    x = 643.52

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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.