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Finding the Fourth Proportional to 1,138.35, 1,570.95 and 690.22

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Solution

The fourth proportional to 1,138.35, 1,570.95 and 690.22 is: 952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.35 : 1,570.95 = 690.22 : x
  2. Step 2: Convert to fraction form
    1,138.35/1,570.95 = 690.22/x
  3. Step 3: Cross multiply
    1,138.35x = 1,570.95 × 690.22
  4. Step 4: Simplify right side
    1,138.35x = 1,084,289.80
  5. Step 5: Solve for x
    x = 1,084,289.80/1,138.35
  6. Step 6: Final answer
    x = 952.51

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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.