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Finding the Fourth Proportional to 1,123.70, 1,683.90 and 816.20

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Solution

The fourth proportional to 1,123.70, 1,683.90 and 816.20 is: 1,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.70 : 1,683.90 = 816.20 : x
  2. Step 2: Convert to fraction form
    1,123.70/1,683.90 = 816.20/x
  3. Step 3: Cross multiply
    1,123.70x = 1,683.90 × 816.20
  4. Step 4: Simplify right side
    1,123.70x = 1,374,399.18
  5. Step 5: Solve for x
    x = 1,374,399.18/1,123.70
  6. Step 6: Final answer
    x = 1,223.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.