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Finding the Fourth Proportional to 901.70, 1,341.66 and 852.50

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Solution

The fourth proportional to 901.70, 1,341.66 and 852.50 is: 1,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.70 : 1,341.66 = 852.50 : x
  2. Step 2: Convert to fraction form
    901.70/1,341.66 = 852.50/x
  3. Step 3: Cross multiply
    901.70x = 1,341.66 × 852.50
  4. Step 4: Simplify right side
    901.70x = 1,143,758.44
  5. Step 5: Solve for x
    x = 1,143,758.44/901.70
  6. Step 6: Final answer
    x = 1,268.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.