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Finding the Fourth Proportional to 1,354.01, 2,031.35 and 429.53

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Solution

The fourth proportional to 1,354.01, 2,031.35 and 429.53 is: 644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.01 : 2,031.35 = 429.53 : x
  2. Step 2: Convert to fraction form
    1,354.01/2,031.35 = 429.53/x
  3. Step 3: Cross multiply
    1,354.01x = 2,031.35 × 429.53
  4. Step 4: Simplify right side
    1,354.01x = 872,513.46
  5. Step 5: Solve for x
    x = 872,513.46/1,354.01
  6. Step 6: Final answer
    x = 644.39

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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.