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Finding the Fourth Proportional to 760.53, 1,048.97 and 574.03

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Solution

The fourth proportional to 760.53, 1,048.97 and 574.03 is: 791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.53 : 1,048.97 = 574.03 : x
  2. Step 2: Convert to fraction form
    760.53/1,048.97 = 574.03/x
  3. Step 3: Cross multiply
    760.53x = 1,048.97 × 574.03
  4. Step 4: Simplify right side
    760.53x = 602,139.06
  5. Step 5: Solve for x
    x = 602,139.06/760.53
  6. Step 6: Final answer
    x = 791.74

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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.