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Finding the Fourth Proportional to 1,304.92, 1,800.84 and 715.48

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Solution

The fourth proportional to 1,304.92, 1,800.84 and 715.48 is: 987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.92 : 1,800.84 = 715.48 : x
  2. Step 2: Convert to fraction form
    1,304.92/1,800.84 = 715.48/x
  3. Step 3: Cross multiply
    1,304.92x = 1,800.84 × 715.48
  4. Step 4: Simplify right side
    1,304.92x = 1,288,460.50
  5. Step 5: Solve for x
    x = 1,288,460.50/1,304.92
  6. Step 6: Final answer
    x = 987.39

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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.