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Finding the Fourth Proportional to 760.83, 1,049.97 and 466

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Solution

The fourth proportional to 760.83, 1,049.97 and 466 is: 643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.83 : 1,049.97 = 466 : x
  2. Step 2: Convert to fraction form
    760.83/1,049.97 = 466/x
  3. Step 3: Cross multiply
    760.83x = 1,049.97 × 466
  4. Step 4: Simplify right side
    760.83x = 489,286.02
  5. Step 5: Solve for x
    x = 489,286.02/760.83
  6. Step 6: Final answer
    x = 643.10

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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.