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Finding the Fourth Proportional to 940.48, 1,411.64 and 575.98

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Solution

The fourth proportional to 940.48, 1,411.64 and 575.98 is: 864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.48 : 1,411.64 = 575.98 : x
  2. Step 2: Convert to fraction form
    940.48/1,411.64 = 575.98/x
  3. Step 3: Cross multiply
    940.48x = 1,411.64 × 575.98
  4. Step 4: Simplify right side
    940.48x = 813,073.53
  5. Step 5: Solve for x
    x = 813,073.53/940.48
  6. Step 6: Final answer
    x = 864.53

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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.