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Finding the Fourth Proportional to 1,044.39, 1,567.05 and 428.56

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Solution

The fourth proportional to 1,044.39, 1,567.05 and 428.56 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.39 : 1,567.05 = 428.56 : x
  2. Step 2: Convert to fraction form
    1,044.39/1,567.05 = 428.56/x
  3. Step 3: Cross multiply
    1,044.39x = 1,567.05 × 428.56
  4. Step 4: Simplify right side
    1,044.39x = 671,569.42
  5. Step 5: Solve for x
    x = 671,569.42/1,044.39
  6. Step 6: Final answer
    x = 643.02

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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.