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Finding the Fourth Proportional to 760.40, 1,140.21 and 297.83

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Solution

The fourth proportional to 760.40, 1,140.21 and 297.83 is: 446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.40 : 1,140.21 = 297.83 : x
  2. Step 2: Convert to fraction form
    760.40/1,140.21 = 297.83/x
  3. Step 3: Cross multiply
    760.40x = 1,140.21 × 297.83
  4. Step 4: Simplify right side
    760.40x = 339,583.04
  5. Step 5: Solve for x
    x = 339,583.04/760.40
  6. Step 6: Final answer
    x = 446.59

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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.