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Finding the Fourth Proportional to 1,110.47, 1,532.41 and 613.10

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Solution

The fourth proportional to 1,110.47, 1,532.41 and 613.10 is: 846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.47 : 1,532.41 = 613.10 : x
  2. Step 2: Convert to fraction form
    1,110.47/1,532.41 = 613.10/x
  3. Step 3: Cross multiply
    1,110.47x = 1,532.41 × 613.10
  4. Step 4: Simplify right side
    1,110.47x = 939,522.87
  5. Step 5: Solve for x
    x = 939,522.87/1,110.47
  6. Step 6: Final answer
    x = 846.06

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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.