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Finding the Fourth Proportional to 1,315.73, 1,816.68 and 923.28

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Solution

The fourth proportional to 1,315.73, 1,816.68 and 923.28 is: 1,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.73 : 1,816.68 = 923.28 : x
  2. Step 2: Convert to fraction form
    1,315.73/1,816.68 = 923.28/x
  3. Step 3: Cross multiply
    1,315.73x = 1,816.68 × 923.28
  4. Step 4: Simplify right side
    1,315.73x = 1,677,304.31
  5. Step 5: Solve for x
    x = 1,677,304.31/1,315.73
  6. Step 6: Final answer
    x = 1,274.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.