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Finding the Fourth Proportional to 760.69, 1,049.81 and 573.83

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Solution

The fourth proportional to 760.69, 1,049.81 and 573.83 is: 791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.69 : 1,049.81 = 573.83 : x
  2. Step 2: Convert to fraction form
    760.69/1,049.81 = 573.83/x
  3. Step 3: Cross multiply
    760.69x = 1,049.81 × 573.83
  4. Step 4: Simplify right side
    760.69x = 602,417.42
  5. Step 5: Solve for x
    x = 602,417.42/760.69
  6. Step 6: Final answer
    x = 791.93

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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.