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Finding the Fourth Proportional to 760.07, 1,140.04 and 240.09

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Solution

The fourth proportional to 760.07, 1,140.04 and 240.09 is: 360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.07 : 1,140.04 = 240.09 : x
  2. Step 2: Convert to fraction form
    760.07/1,140.04 = 240.09/x
  3. Step 3: Cross multiply
    760.07x = 1,140.04 × 240.09
  4. Step 4: Simplify right side
    760.07x = 273,706.50
  5. Step 5: Solve for x
    x = 273,706.50/760.07
  6. Step 6: Final answer
    x = 360.11

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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.