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Finding the Fourth Proportional to 760.22, 1,140.12 and 297.86

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Solution

The fourth proportional to 760.22, 1,140.12 and 297.86 is: 446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.22 : 1,140.12 = 297.86 : x
  2. Step 2: Convert to fraction form
    760.22/1,140.12 = 297.86/x
  3. Step 3: Cross multiply
    760.22x = 1,140.12 × 297.86
  4. Step 4: Simplify right side
    760.22x = 339,596.14
  5. Step 5: Solve for x
    x = 339,596.14/760.22
  6. Step 6: Final answer
    x = 446.71

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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.