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Finding the Fourth Proportional to 687, 1,030.08 and 275.78

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Solution

The fourth proportional to 687, 1,030.08 and 275.78 is: 413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    687 : 1,030.08 = 275.78 : x
  2. Step 2: Convert to fraction form
    687/1,030.08 = 275.78/x
  3. Step 3: Cross multiply
    687x = 1,030.08 × 275.78
  4. Step 4: Simplify right side
    687x = 284,075.46
  5. Step 5: Solve for x
    x = 284,075.46/687
  6. Step 6: Final answer
    x = 413.50

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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.