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Finding the Fourth Proportional to 1,197.44, 1,652.33 and 700.01

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Solution

The fourth proportional to 1,197.44, 1,652.33 and 700.01 is: 965.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.44 : 1,652.33 = 700.01 : x
  2. Step 2: Convert to fraction form
    1,197.44/1,652.33 = 700.01/x
  3. Step 3: Cross multiply
    1,197.44x = 1,652.33 × 700.01
  4. Step 4: Simplify right side
    1,197.44x = 1,156,647.52
  5. Step 5: Solve for x
    x = 1,156,647.52/1,197.44
  6. Step 6: Final answer
    x = 965.93

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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.