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Finding the Fourth Proportional to 1,017.71, 1,404.71 and 644.87

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Solution

The fourth proportional to 1,017.71, 1,404.71 and 644.87 is: 890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.71 : 1,404.71 = 644.87 : x
  2. Step 2: Convert to fraction form
    1,017.71/1,404.71 = 644.87/x
  3. Step 3: Cross multiply
    1,017.71x = 1,404.71 × 644.87
  4. Step 4: Simplify right side
    1,017.71x = 905,852.11
  5. Step 5: Solve for x
    x = 905,852.11/1,017.71
  6. Step 6: Final answer
    x = 890.09

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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.