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Finding the Fourth Proportional to 901.70, 1,352.63 and 285.24

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Solution

The fourth proportional to 901.70, 1,352.63 and 285.24 is: 427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.70 : 1,352.63 = 285.24 : x
  2. Step 2: Convert to fraction form
    901.70/1,352.63 = 285.24/x
  3. Step 3: Cross multiply
    901.70x = 1,352.63 × 285.24
  4. Step 4: Simplify right side
    901.70x = 385,822.76
  5. Step 5: Solve for x
    x = 385,822.76/901.70
  6. Step 6: Final answer
    x = 427.89

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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.