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Finding the Fourth Proportional to 783.38, 1,081.07 and 434.07

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Solution

The fourth proportional to 783.38, 1,081.07 and 434.07 is: 599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.38 : 1,081.07 = 434.07 : x
  2. Step 2: Convert to fraction form
    783.38/1,081.07 = 434.07/x
  3. Step 3: Cross multiply
    783.38x = 1,081.07 × 434.07
  4. Step 4: Simplify right side
    783.38x = 469,260.05
  5. Step 5: Solve for x
    x = 469,260.05/783.38
  6. Step 6: Final answer
    x = 599.02

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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.