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Finding the Fourth Proportional to 1,045.23, 1,567.80 and 275.73

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Solution

The fourth proportional to 1,045.23, 1,567.80 and 275.73 is: 413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.23 : 1,567.80 = 275.73 : x
  2. Step 2: Convert to fraction form
    1,045.23/1,567.80 = 275.73/x
  3. Step 3: Cross multiply
    1,045.23x = 1,567.80 × 275.73
  4. Step 4: Simplify right side
    1,045.23x = 432,289.49
  5. Step 5: Solve for x
    x = 432,289.49/1,045.23
  6. Step 6: Final answer
    x = 413.58

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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.