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Finding the Fourth Proportional to 1,045.74, 1,567.25 and 428.73

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Solution

The fourth proportional to 1,045.74, 1,567.25 and 428.73 is: 642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.74 : 1,567.25 = 428.73 : x
  2. Step 2: Convert to fraction form
    1,045.74/1,567.25 = 428.73/x
  3. Step 3: Cross multiply
    1,045.74x = 1,567.25 × 428.73
  4. Step 4: Simplify right side
    1,045.74x = 671,920.14
  5. Step 5: Solve for x
    x = 671,920.14/1,045.74
  6. Step 6: Final answer
    x = 642.53

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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.