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Finding the Fourth Proportional to 760.10, 1,048.20 and 564.08

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Solution

The fourth proportional to 760.10, 1,048.20 and 564.08 is: 777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.10 : 1,048.20 = 564.08 : x
  2. Step 2: Convert to fraction form
    760.10/1,048.20 = 564.08/x
  3. Step 3: Cross multiply
    760.10x = 1,048.20 × 564.08
  4. Step 4: Simplify right side
    760.10x = 591,268.66
  5. Step 5: Solve for x
    x = 591,268.66/760.10
  6. Step 6: Final answer
    x = 777.88

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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.