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Finding the Fourth Proportional to 920.24, 1,378.68 and 535.76

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Solution

The fourth proportional to 920.24, 1,378.68 and 535.76 is: 802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.24 : 1,378.68 = 535.76 : x
  2. Step 2: Convert to fraction form
    920.24/1,378.68 = 535.76/x
  3. Step 3: Cross multiply
    920.24x = 1,378.68 × 535.76
  4. Step 4: Simplify right side
    920.24x = 738,641.60
  5. Step 5: Solve for x
    x = 738,641.60/920.24
  6. Step 6: Final answer
    x = 802.66

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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.