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Finding the Fourth Proportional to 1,530.73, 2,296.10 and 376.48

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Solution

The fourth proportional to 1,530.73, 2,296.10 and 376.48 is: 564.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.73 : 2,296.10 = 376.48 : x
  2. Step 2: Convert to fraction form
    1,530.73/2,296.10 = 376.48/x
  3. Step 3: Cross multiply
    1,530.73x = 2,296.10 × 376.48
  4. Step 4: Simplify right side
    1,530.73x = 864,435.73
  5. Step 5: Solve for x
    x = 864,435.73/1,530.73
  6. Step 6: Final answer
    x = 564.72

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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.