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Finding the Fourth Proportional to 1,197.84, 1,652.96 and 666.75

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Solution

The fourth proportional to 1,197.84, 1,652.96 and 666.75 is: 920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.84 : 1,652.96 = 666.75 : x
  2. Step 2: Convert to fraction form
    1,197.84/1,652.96 = 666.75/x
  3. Step 3: Cross multiply
    1,197.84x = 1,652.96 × 666.75
  4. Step 4: Simplify right side
    1,197.84x = 1,102,107.75
  5. Step 5: Solve for x
    x = 1,102,107.75/1,197.84
  6. Step 6: Final answer
    x = 920.08

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1.5x scale

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.