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Finding the Fourth Proportional to 1,304.97, 1,800.86 and 715.49

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Solution

The fourth proportional to 1,304.97, 1,800.86 and 715.49 is: 987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.97 : 1,800.86 = 715.49 : x
  2. Step 2: Convert to fraction form
    1,304.97/1,800.86 = 715.49/x
  3. Step 3: Cross multiply
    1,304.97x = 1,800.86 × 715.49
  4. Step 4: Simplify right side
    1,304.97x = 1,288,497.32
  5. Step 5: Solve for x
    x = 1,288,497.32/1,304.97
  6. Step 6: Final answer
    x = 987.38

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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.