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Finding the Fourth Proportional to 852.76, 1,280 and 575.08

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Solution

The fourth proportional to 852.76, 1,280 and 575.08 is: 863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.76 : 1,280 = 575.08 : x
  2. Step 2: Convert to fraction form
    852.76/1,280 = 575.08/x
  3. Step 3: Cross multiply
    852.76x = 1,280 × 575.08
  4. Step 4: Simplify right side
    852.76x = 736,102.40
  5. Step 5: Solve for x
    x = 736,102.40/852.76
  6. Step 6: Final answer
    x = 863.20

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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.