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Finding the Fourth Proportional to 760.84, 1,049.98 and 446.04

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Solution

The fourth proportional to 760.84, 1,049.98 and 446.04 is: 615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.84 : 1,049.98 = 446.04 : x
  2. Step 2: Convert to fraction form
    760.84/1,049.98 = 446.04/x
  3. Step 3: Cross multiply
    760.84x = 1,049.98 × 446.04
  4. Step 4: Simplify right side
    760.84x = 468,333.08
  5. Step 5: Solve for x
    x = 468,333.08/760.84
  6. Step 6: Final answer
    x = 615.55

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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.