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Finding the Fourth Proportional to 1,353.93, 2,031.14 and 429.72

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Solution

The fourth proportional to 1,353.93, 2,031.14 and 429.72 is: 644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.93 : 2,031.14 = 429.72 : x
  2. Step 2: Convert to fraction form
    1,353.93/2,031.14 = 429.72/x
  3. Step 3: Cross multiply
    1,353.93x = 2,031.14 × 429.72
  4. Step 4: Simplify right side
    1,353.93x = 872,809.18
  5. Step 5: Solve for x
    x = 872,809.18/1,353.93
  6. Step 6: Final answer
    x = 644.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.