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Finding the Fourth Proportional to 1,683.66, 2,526.09 and 588.33

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Solution

The fourth proportional to 1,683.66, 2,526.09 and 588.33 is: 882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.66 : 2,526.09 = 588.33 : x
  2. Step 2: Convert to fraction form
    1,683.66/2,526.09 = 588.33/x
  3. Step 3: Cross multiply
    1,683.66x = 2,526.09 × 588.33
  4. Step 4: Simplify right side
    1,683.66x = 1,486,174.53
  5. Step 5: Solve for x
    x = 1,486,174.53/1,683.66
  6. Step 6: Final answer
    x = 882.70

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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.