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Finding the Fourth Proportional to 1,187.60, 1,638.81 and 690.12

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Solution

The fourth proportional to 1,187.60, 1,638.81 and 690.12 is: 952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.60 : 1,638.81 = 690.12 : x
  2. Step 2: Convert to fraction form
    1,187.60/1,638.81 = 690.12/x
  3. Step 3: Cross multiply
    1,187.60x = 1,638.81 × 690.12
  4. Step 4: Simplify right side
    1,187.60x = 1,130,975.56
  5. Step 5: Solve for x
    x = 1,130,975.56/1,187.60
  6. Step 6: Final answer
    x = 952.32

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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.