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Finding the Fourth Proportional to 760.68, 1,049.76 and 446.00

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Solution

The fourth proportional to 760.68, 1,049.76 and 446.00 is: 615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.68 : 1,049.76 = 446.00 : x
  2. Step 2: Convert to fraction form
    760.68/1,049.76 = 446.00/x
  3. Step 3: Cross multiply
    760.68x = 1,049.76 × 446.00
  4. Step 4: Simplify right side
    760.68x = 468,187.71
  5. Step 5: Solve for x
    x = 468,187.71/760.68
  6. Step 6: Final answer
    x = 615.49

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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.