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Finding the Fourth Proportional to 1,138.14, 1,707.30 and 651.60

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Solution

The fourth proportional to 1,138.14, 1,707.30 and 651.60 is: 977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.14 : 1,707.30 = 651.60 : x
  2. Step 2: Convert to fraction form
    1,138.14/1,707.30 = 651.60/x
  3. Step 3: Cross multiply
    1,138.14x = 1,707.30 × 651.60
  4. Step 4: Simplify right side
    1,138.14x = 1,112,476.68
  5. Step 5: Solve for x
    x = 1,112,476.68/1,138.14
  6. Step 6: Final answer
    x = 977.45

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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.