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Finding the Fourth Proportional to 1,136.70, 1,564.52 and 988.47

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Solution

The fourth proportional to 1,136.70, 1,564.52 and 988.47 is: 1,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.70 : 1,564.52 = 988.47 : x
  2. Step 2: Convert to fraction form
    1,136.70/1,564.52 = 988.47/x
  3. Step 3: Cross multiply
    1,136.70x = 1,564.52 × 988.47
  4. Step 4: Simplify right side
    1,136.70x = 1,546,476.14
  5. Step 5: Solve for x
    x = 1,546,476.14/1,136.70
  6. Step 6: Final answer
    x = 1,360.50

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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.