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Finding the Fourth Proportional to 1,123.66, 1,684.53 and 661.90

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Solution

The fourth proportional to 1,123.66, 1,684.53 and 661.90 is: 992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.66 : 1,684.53 = 661.90 : x
  2. Step 2: Convert to fraction form
    1,123.66/1,684.53 = 661.90/x
  3. Step 3: Cross multiply
    1,123.66x = 1,684.53 × 661.90
  4. Step 4: Simplify right side
    1,123.66x = 1,114,990.41
  5. Step 5: Solve for x
    x = 1,114,990.41/1,123.66
  6. Step 6: Final answer
    x = 992.28

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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.