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Finding the Fourth Proportional to 1,200.37, 1,655.87 and 826.70

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Solution

The fourth proportional to 1,200.37, 1,655.87 and 826.70 is: 1,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.37 : 1,655.87 = 826.70 : x
  2. Step 2: Convert to fraction form
    1,200.37/1,655.87 = 826.70/x
  3. Step 3: Cross multiply
    1,200.37x = 1,655.87 × 826.70
  4. Step 4: Simplify right side
    1,200.37x = 1,368,899.45
  5. Step 5: Solve for x
    x = 1,368,899.45/1,200.37
  6. Step 6: Final answer
    x = 1,140.40

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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.