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Finding the Fourth Proportional to 1,203.63, 1,805.44 and 291.63

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Solution

The fourth proportional to 1,203.63, 1,805.44 and 291.63 is: 437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.63 : 1,805.44 = 291.63 : x
  2. Step 2: Convert to fraction form
    1,203.63/1,805.44 = 291.63/x
  3. Step 3: Cross multiply
    1,203.63x = 1,805.44 × 291.63
  4. Step 4: Simplify right side
    1,203.63x = 526,510.71
  5. Step 5: Solve for x
    x = 526,510.71/1,203.63
  6. Step 6: Final answer
    x = 437.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.