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Finding the Fourth Proportional to 1,315.78, 1,815.80 and 756.34

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Solution

The fourth proportional to 1,315.78, 1,815.80 and 756.34 is: 1,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.78 : 1,815.80 = 756.34 : x
  2. Step 2: Convert to fraction form
    1,315.78/1,815.80 = 756.34/x
  3. Step 3: Cross multiply
    1,315.78x = 1,815.80 × 756.34
  4. Step 4: Simplify right side
    1,315.78x = 1,373,353.85
  5. Step 5: Solve for x
    x = 1,373,353.85/1,315.78
  6. Step 6: Final answer
    x = 1,043.76

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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.