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Finding the Fourth Proportional to 925.07, 1,387.51 and 275.81

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Solution

The fourth proportional to 925.07, 1,387.51 and 275.81 is: 413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.07 : 1,387.51 = 275.81 : x
  2. Step 2: Convert to fraction form
    925.07/1,387.51 = 275.81/x
  3. Step 3: Cross multiply
    925.07x = 1,387.51 × 275.81
  4. Step 4: Simplify right side
    925.07x = 382,681.51
  5. Step 5: Solve for x
    x = 382,681.51/925.07
  6. Step 6: Final answer
    x = 413.68

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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.