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Finding the Fourth Proportional to 1,304.66, 1,800.42 and 715.20

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Solution

The fourth proportional to 1,304.66, 1,800.42 and 715.20 is: 986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.66 : 1,800.42 = 715.20 : x
  2. Step 2: Convert to fraction form
    1,304.66/1,800.42 = 715.20/x
  3. Step 3: Cross multiply
    1,304.66x = 1,800.42 × 715.20
  4. Step 4: Simplify right side
    1,304.66x = 1,287,660.38
  5. Step 5: Solve for x
    x = 1,287,660.38/1,304.66
  6. Step 6: Final answer
    x = 986.97

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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.