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Finding the Fourth Proportional to 1,444.37, 2,165.95 and 554.76

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Solution

The fourth proportional to 1,444.37, 2,165.95 and 554.76 is: 831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.37 : 2,165.95 = 554.76 : x
  2. Step 2: Convert to fraction form
    1,444.37/2,165.95 = 554.76/x
  3. Step 3: Cross multiply
    1,444.37x = 2,165.95 × 554.76
  4. Step 4: Simplify right side
    1,444.37x = 1,201,577.01
  5. Step 5: Solve for x
    x = 1,201,577.01/1,444.37
  6. Step 6: Final answer
    x = 831.90

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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.