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Finding the Fourth Proportional to 760.16, 1,049.22 and 495.33

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Solution

The fourth proportional to 760.16, 1,049.22 and 495.33 is: 683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.16 : 1,049.22 = 495.33 : x
  2. Step 2: Convert to fraction form
    760.16/1,049.22 = 495.33/x
  3. Step 3: Cross multiply
    760.16x = 1,049.22 × 495.33
  4. Step 4: Simplify right side
    760.16x = 519,702.42
  5. Step 5: Solve for x
    x = 519,702.42/760.16
  6. Step 6: Final answer
    x = 683.68

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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.