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Finding the Fourth Proportional to 1,226.55, 1,691.47 and 946.34

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Solution

The fourth proportional to 1,226.55, 1,691.47 and 946.34 is: 1,305.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.55 : 1,691.47 = 946.34 : x
  2. Step 2: Convert to fraction form
    1,226.55/1,691.47 = 946.34/x
  3. Step 3: Cross multiply
    1,226.55x = 1,691.47 × 946.34
  4. Step 4: Simplify right side
    1,226.55x = 1,600,703.86
  5. Step 5: Solve for x
    x = 1,600,703.86/1,226.55
  6. Step 6: Final answer
    x = 1,305.05

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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.