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Finding the Fourth Proportional to 760.76, 1,140.94 and 240.64

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Solution

The fourth proportional to 760.76, 1,140.94 and 240.64 is: 360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.76 : 1,140.94 = 240.64 : x
  2. Step 2: Convert to fraction form
    760.76/1,140.94 = 240.64/x
  3. Step 3: Cross multiply
    760.76x = 1,140.94 × 240.64
  4. Step 4: Simplify right side
    760.76x = 274,551.90
  5. Step 5: Solve for x
    x = 274,551.90/760.76
  6. Step 6: Final answer
    x = 360.89

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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.