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Finding the Fourth Proportional to 1,220.01, 1,683.53 and 716.00

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Solution

The fourth proportional to 1,220.01, 1,683.53 and 716.00 is: 988.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.01 : 1,683.53 = 716.00 : x
  2. Step 2: Convert to fraction form
    1,220.01/1,683.53 = 716.00/x
  3. Step 3: Cross multiply
    1,220.01x = 1,683.53 × 716.00
  4. Step 4: Simplify right side
    1,220.01x = 1,205,395.48
  5. Step 5: Solve for x
    x = 1,205,395.48/1,220.01
  6. Step 6: Final answer
    x = 988.02

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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.