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Finding the Fourth Proportional to 920.83, 1,381.53 and 434.17

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Solution

The fourth proportional to 920.83, 1,381.53 and 434.17 is: 651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.83 : 1,381.53 = 434.17 : x
  2. Step 2: Convert to fraction form
    920.83/1,381.53 = 434.17/x
  3. Step 3: Cross multiply
    920.83x = 1,381.53 × 434.17
  4. Step 4: Simplify right side
    920.83x = 599,818.88
  5. Step 5: Solve for x
    x = 599,818.88/920.83
  6. Step 6: Final answer
    x = 651.39

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Double scale
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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.