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Finding the Fourth Proportional to 907.74, 1,359.18 and 494.94

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Solution

The fourth proportional to 907.74, 1,359.18 and 494.94 is: 741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.74 : 1,359.18 = 494.94 : x
  2. Step 2: Convert to fraction form
    907.74/1,359.18 = 494.94/x
  3. Step 3: Cross multiply
    907.74x = 1,359.18 × 494.94
  4. Step 4: Simplify right side
    907.74x = 672,712.55
  5. Step 5: Solve for x
    x = 672,712.55/907.74
  6. Step 6: Final answer
    x = 741.09

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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.