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Finding the Fourth Proportional to 925.02, 1,275.75 and 778.01

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Solution

The fourth proportional to 925.02, 1,275.75 and 778.01 is: 1,072.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.02 : 1,275.75 = 778.01 : x
  2. Step 2: Convert to fraction form
    925.02/1,275.75 = 778.01/x
  3. Step 3: Cross multiply
    925.02x = 1,275.75 × 778.01
  4. Step 4: Simplify right side
    925.02x = 992,539.88
  5. Step 5: Solve for x
    x = 992,539.88/925.02
  6. Step 6: Final answer
    x = 1,072.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.