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Finding the Fourth Proportional to 926.76, 1,390.98 and 494.28

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Solution

The fourth proportional to 926.76, 1,390.98 and 494.28 is: 741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,390.98 = 494.28 : x
  2. Step 2: Convert to fraction form
    926.76/1,390.98 = 494.28/x
  3. Step 3: Cross multiply
    926.76x = 1,390.98 × 494.28
  4. Step 4: Simplify right side
    926.76x = 687,533.59
  5. Step 5: Solve for x
    x = 687,533.59/926.76
  6. Step 6: Final answer
    x = 741.87

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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.