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Finding the Fourth Proportional to 1,410.93, 1,947.20 and 813.65

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Solution

The fourth proportional to 1,410.93, 1,947.20 and 813.65 is: 1,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.93 : 1,947.20 = 813.65 : x
  2. Step 2: Convert to fraction form
    1,410.93/1,947.20 = 813.65/x
  3. Step 3: Cross multiply
    1,410.93x = 1,947.20 × 813.65
  4. Step 4: Simplify right side
    1,410.93x = 1,584,325.48
  5. Step 5: Solve for x
    x = 1,584,325.48/1,410.93
  6. Step 6: Final answer
    x = 1,122.89

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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.