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Finding the Fourth Proportional to 1,043.04, 1,560.78 and 923.16

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Solution

The fourth proportional to 1,043.04, 1,560.78 and 923.16 is: 1,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.04 : 1,560.78 = 923.16 : x
  2. Step 2: Convert to fraction form
    1,043.04/1,560.78 = 923.16/x
  3. Step 3: Cross multiply
    1,043.04x = 1,560.78 × 923.16
  4. Step 4: Simplify right side
    1,043.04x = 1,440,849.66
  5. Step 5: Solve for x
    x = 1,440,849.66/1,043.04
  6. Step 6: Final answer
    x = 1,381.39

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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.