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Finding the Fourth Proportional to 1,020.32, 1,530.10 and 403.82

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Solution

The fourth proportional to 1,020.32, 1,530.10 and 403.82 is: 605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.32 : 1,530.10 = 403.82 : x
  2. Step 2: Convert to fraction form
    1,020.32/1,530.10 = 403.82/x
  3. Step 3: Cross multiply
    1,020.32x = 1,530.10 × 403.82
  4. Step 4: Simplify right side
    1,020.32x = 617,884.98
  5. Step 5: Solve for x
    x = 617,884.98/1,020.32
  6. Step 6: Final answer
    x = 605.58

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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.