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Finding the Fourth Proportional to 920.70, 1,377.87 and 569.16

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Solution

The fourth proportional to 920.70, 1,377.87 and 569.16 is: 851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.70 : 1,377.87 = 569.16 : x
  2. Step 2: Convert to fraction form
    920.70/1,377.87 = 569.16/x
  3. Step 3: Cross multiply
    920.70x = 1,377.87 × 569.16
  4. Step 4: Simplify right side
    920.70x = 784,225.64
  5. Step 5: Solve for x
    x = 784,225.64/920.70
  6. Step 6: Final answer
    x = 851.77

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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.