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Finding the Fourth Proportional to 760.09, 1,049.03 and 564.16

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Solution

The fourth proportional to 760.09, 1,049.03 and 564.16 is: 778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.09 : 1,049.03 = 564.16 : x
  2. Step 2: Convert to fraction form
    760.09/1,049.03 = 564.16/x
  3. Step 3: Cross multiply
    760.09x = 1,049.03 × 564.16
  4. Step 4: Simplify right side
    760.09x = 591,820.76
  5. Step 5: Solve for x
    x = 591,820.76/760.09
  6. Step 6: Final answer
    x = 778.62

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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.