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Finding the Fourth Proportional to 760.59, 1,140.75 and 273.65

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Solution

The fourth proportional to 760.59, 1,140.75 and 273.65 is: 410.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.59 : 1,140.75 = 273.65 : x
  2. Step 2: Convert to fraction form
    760.59/1,140.75 = 273.65/x
  3. Step 3: Cross multiply
    760.59x = 1,140.75 × 273.65
  4. Step 4: Simplify right side
    760.59x = 312,160.53
  5. Step 5: Solve for x
    x = 312,160.53/760.59
  6. Step 6: Final answer
    x = 410.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.