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Finding the Fourth Proportional to 925.02, 1,276.74 and 645.84

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Solution

The fourth proportional to 925.02, 1,276.74 and 645.84 is: 891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.02 : 1,276.74 = 645.84 : x
  2. Step 2: Convert to fraction form
    925.02/1,276.74 = 645.84/x
  3. Step 3: Cross multiply
    925.02x = 1,276.74 × 645.84
  4. Step 4: Simplify right side
    925.02x = 824,569.76
  5. Step 5: Solve for x
    x = 824,569.76/925.02
  6. Step 6: Final answer
    x = 891.41

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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.