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Finding the Fourth Proportional to 1,214.32, 1,822.62 and 781.72

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Solution

The fourth proportional to 1,214.32, 1,822.62 and 781.72 is: 1,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.32 : 1,822.62 = 781.72 : x
  2. Step 2: Convert to fraction form
    1,214.32/1,822.62 = 781.72/x
  3. Step 3: Cross multiply
    1,214.32x = 1,822.62 × 781.72
  4. Step 4: Simplify right side
    1,214.32x = 1,424,778.51
  5. Step 5: Solve for x
    x = 1,424,778.51/1,214.32
  6. Step 6: Final answer
    x = 1,173.31

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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.