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Finding the Fourth Proportional to 1,197.39, 1,652.40 and 666.32

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Solution

The fourth proportional to 1,197.39, 1,652.40 and 666.32 is: 919.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.39 : 1,652.40 = 666.32 : x
  2. Step 2: Convert to fraction form
    1,197.39/1,652.40 = 666.32/x
  3. Step 3: Cross multiply
    1,197.39x = 1,652.40 × 666.32
  4. Step 4: Simplify right side
    1,197.39x = 1,101,027.17
  5. Step 5: Solve for x
    x = 1,101,027.17/1,197.39
  6. Step 6: Final answer
    x = 919.52

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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.