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Finding the Fourth Proportional to 760.35, 1,049.32 and 428.81

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Solution

The fourth proportional to 760.35, 1,049.32 and 428.81 is: 591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.35 : 1,049.32 = 428.81 : x
  2. Step 2: Convert to fraction form
    760.35/1,049.32 = 428.81/x
  3. Step 3: Cross multiply
    760.35x = 1,049.32 × 428.81
  4. Step 4: Simplify right side
    760.35x = 449,952.59
  5. Step 5: Solve for x
    x = 449,952.59/760.35
  6. Step 6: Final answer
    x = 591.77

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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.