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Finding the Fourth Proportional to 760.59, 1,049.72 and 564.66

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Solution

The fourth proportional to 760.59, 1,049.72 and 564.66 is: 779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.59 : 1,049.72 = 564.66 : x
  2. Step 2: Convert to fraction form
    760.59/1,049.72 = 564.66/x
  3. Step 3: Cross multiply
    760.59x = 1,049.72 × 564.66
  4. Step 4: Simplify right side
    760.59x = 592,732.07
  5. Step 5: Solve for x
    x = 592,732.07/760.59
  6. Step 6: Final answer
    x = 779.31

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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.