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Finding the Fourth Proportional to 1,018.71, 1,405.65 and 645.03

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Solution

The fourth proportional to 1,018.71, 1,405.65 and 645.03 is: 890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.71 : 1,405.65 = 645.03 : x
  2. Step 2: Convert to fraction form
    1,018.71/1,405.65 = 645.03/x
  3. Step 3: Cross multiply
    1,018.71x = 1,405.65 × 645.03
  4. Step 4: Simplify right side
    1,018.71x = 906,686.42
  5. Step 5: Solve for x
    x = 906,686.42/1,018.71
  6. Step 6: Final answer
    x = 890.03

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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.