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Finding the Fourth Proportional to 1,220.65, 1,683.51 and 984.53

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Solution

The fourth proportional to 1,220.65, 1,683.51 and 984.53 is: 1,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.65 : 1,683.51 = 984.53 : x
  2. Step 2: Convert to fraction form
    1,220.65/1,683.51 = 984.53/x
  3. Step 3: Cross multiply
    1,220.65x = 1,683.51 × 984.53
  4. Step 4: Simplify right side
    1,220.65x = 1,657,466.10
  5. Step 5: Solve for x
    x = 1,657,466.10/1,220.65
  6. Step 6: Final answer
    x = 1,357.86

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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.