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Finding the Fourth Proportional to 760.54, 1,048.94 and 574.06

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Solution

The fourth proportional to 760.54, 1,048.94 and 574.06 is: 791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.54 : 1,048.94 = 574.06 : x
  2. Step 2: Convert to fraction form
    760.54/1,048.94 = 574.06/x
  3. Step 3: Cross multiply
    760.54x = 1,048.94 × 574.06
  4. Step 4: Simplify right side
    760.54x = 602,154.50
  5. Step 5: Solve for x
    x = 602,154.50/760.54
  6. Step 6: Final answer
    x = 791.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.