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Finding the Fourth Proportional to 781.64, 1,078.69 and 432.36

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Solution

The fourth proportional to 781.64, 1,078.69 and 432.36 is: 596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.64 : 1,078.69 = 432.36 : x
  2. Step 2: Convert to fraction form
    781.64/1,078.69 = 432.36/x
  3. Step 3: Cross multiply
    781.64x = 1,078.69 × 432.36
  4. Step 4: Simplify right side
    781.64x = 466,382.41
  5. Step 5: Solve for x
    x = 466,382.41/781.64
  6. Step 6: Final answer
    x = 596.67

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Double scale
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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.