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Finding the Fourth Proportional to 760.20, 1,139.76 and 297.60

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Solution

The fourth proportional to 760.20, 1,139.76 and 297.60 is: 446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.20 : 1,139.76 = 297.60 : x
  2. Step 2: Convert to fraction form
    760.20/1,139.76 = 297.60/x
  3. Step 3: Cross multiply
    760.20x = 1,139.76 × 297.60
  4. Step 4: Simplify right side
    760.20x = 339,192.58
  5. Step 5: Solve for x
    x = 339,192.58/760.20
  6. Step 6: Final answer
    x = 446.19

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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.