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Finding the Fourth Proportional to 760.56, 1,049.28 and 564.48

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Solution

The fourth proportional to 760.56, 1,049.28 and 564.48 is: 778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.56 : 1,049.28 = 564.48 : x
  2. Step 2: Convert to fraction form
    760.56/1,049.28 = 564.48/x
  3. Step 3: Cross multiply
    760.56x = 1,049.28 × 564.48
  4. Step 4: Simplify right side
    760.56x = 592,297.57
  5. Step 5: Solve for x
    x = 592,297.57/760.56
  6. Step 6: Final answer
    x = 778.77

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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.