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Finding the Fourth Proportional to 1,018.90, 1,406.73 and 823.30

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Solution

The fourth proportional to 1,018.90, 1,406.73 and 823.30 is: 1,136.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.90 : 1,406.73 = 823.30 : x
  2. Step 2: Convert to fraction form
    1,018.90/1,406.73 = 823.30/x
  3. Step 3: Cross multiply
    1,018.90x = 1,406.73 × 823.30
  4. Step 4: Simplify right side
    1,018.90x = 1,158,160.81
  5. Step 5: Solve for x
    x = 1,158,160.81/1,018.90
  6. Step 6: Final answer
    x = 1,136.68

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Why These Related Problems?

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