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Finding the Fourth Proportional to 1,437.30, 2,155.98 and 463.44

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Solution

The fourth proportional to 1,437.30, 2,155.98 and 463.44 is: 695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.30 : 2,155.98 = 463.44 : x
  2. Step 2: Convert to fraction form
    1,437.30/2,155.98 = 463.44/x
  3. Step 3: Cross multiply
    1,437.30x = 2,155.98 × 463.44
  4. Step 4: Simplify right side
    1,437.30x = 999,167.37
  5. Step 5: Solve for x
    x = 999,167.37/1,437.30
  6. Step 6: Final answer
    x = 695.17

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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.