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Finding the Fourth Proportional to 1,131.79, 1,689.29 and 974.94

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Solution

The fourth proportional to 1,131.79, 1,689.29 and 974.94 is: 1,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.79 : 1,689.29 = 974.94 : x
  2. Step 2: Convert to fraction form
    1,131.79/1,689.29 = 974.94/x
  3. Step 3: Cross multiply
    1,131.79x = 1,689.29 × 974.94
  4. Step 4: Simplify right side
    1,131.79x = 1,646,948.84
  5. Step 5: Solve for x
    x = 1,646,948.84/1,131.79
  6. Step 6: Final answer
    x = 1,455.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.