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Finding the Fourth Proportional to 1,017.86, 1,405.06 and 644.78

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Solution

The fourth proportional to 1,017.86, 1,405.06 and 644.78 is: 890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.86 : 1,405.06 = 644.78 : x
  2. Step 2: Convert to fraction form
    1,017.86/1,405.06 = 644.78/x
  3. Step 3: Cross multiply
    1,017.86x = 1,405.06 × 644.78
  4. Step 4: Simplify right side
    1,017.86x = 905,956.49
  5. Step 5: Solve for x
    x = 905,956.49/1,017.86
  6. Step 6: Final answer
    x = 890.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.