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Finding the Fourth Proportional to 760.19, 1,049.05 and 428.59

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Solution

The fourth proportional to 760.19, 1,049.05 and 428.59 is: 591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.19 : 1,049.05 = 428.59 : x
  2. Step 2: Convert to fraction form
    760.19/1,049.05 = 428.59/x
  3. Step 3: Cross multiply
    760.19x = 1,049.05 × 428.59
  4. Step 4: Simplify right side
    760.19x = 449,614.19
  5. Step 5: Solve for x
    x = 449,614.19/760.19
  6. Step 6: Final answer
    x = 591.45

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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.