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Finding the Fourth Proportional to 1,430.64, 2,141.64 and 813.24

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Solution

The fourth proportional to 1,430.64, 2,141.64 and 813.24 is: 1,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.64 : 2,141.64 = 813.24 : x
  2. Step 2: Convert to fraction form
    1,430.64/2,141.64 = 813.24/x
  3. Step 3: Cross multiply
    1,430.64x = 2,141.64 × 813.24
  4. Step 4: Simplify right side
    1,430.64x = 1,741,667.31
  5. Step 5: Solve for x
    x = 1,741,667.31/1,430.64
  6. Step 6: Final answer
    x = 1,217.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.