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Finding the Fourth Proportional to 1,281.32, 1,767.66 and 784.04

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Solution

The fourth proportional to 1,281.32, 1,767.66 and 784.04 is: 1,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.32 : 1,767.66 = 784.04 : x
  2. Step 2: Convert to fraction form
    1,281.32/1,767.66 = 784.04/x
  3. Step 3: Cross multiply
    1,281.32x = 1,767.66 × 784.04
  4. Step 4: Simplify right side
    1,281.32x = 1,385,916.15
  5. Step 5: Solve for x
    x = 1,385,916.15/1,281.32
  6. Step 6: Final answer
    x = 1,081.63

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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.