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Finding the Fourth Proportional to 1,202.46, 1,803.33 and 462.02

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Solution

The fourth proportional to 1,202.46, 1,803.33 and 462.02 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.46 : 1,803.33 = 462.02 : x
  2. Step 2: Convert to fraction form
    1,202.46/1,803.33 = 462.02/x
  3. Step 3: Cross multiply
    1,202.46x = 1,803.33 × 462.02
  4. Step 4: Simplify right side
    1,202.46x = 833,165.51
  5. Step 5: Solve for x
    x = 833,165.51/1,202.46
  6. Step 6: Final answer
    x = 692.89

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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.