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Finding the Fourth Proportional to 691.99, 1,038.19 and 275.57

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Solution

The fourth proportional to 691.99, 1,038.19 and 275.57 is: 413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.99 : 1,038.19 = 275.57 : x
  2. Step 2: Convert to fraction form
    691.99/1,038.19 = 275.57/x
  3. Step 3: Cross multiply
    691.99x = 1,038.19 × 275.57
  4. Step 4: Simplify right side
    691.99x = 286,091.36
  5. Step 5: Solve for x
    x = 286,091.36/691.99
  6. Step 6: Final answer
    x = 413.43

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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.