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Finding the Fourth Proportional to 1,047.23, 1,569.01 and 934.23

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Solution

The fourth proportional to 1,047.23, 1,569.01 and 934.23 is: 1,399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.23 : 1,569.01 = 934.23 : x
  2. Step 2: Convert to fraction form
    1,047.23/1,569.01 = 934.23/x
  3. Step 3: Cross multiply
    1,047.23x = 1,569.01 × 934.23
  4. Step 4: Simplify right side
    1,047.23x = 1,465,816.21
  5. Step 5: Solve for x
    x = 1,465,816.21/1,047.23
  6. Step 6: Final answer
    x = 1,399.71

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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.