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Finding the Fourth Proportional to 690.75, 952.38 and 566.19

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Solution

The fourth proportional to 690.75, 952.38 and 566.19 is: 780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.75 : 952.38 = 566.19 : x
  2. Step 2: Convert to fraction form
    690.75/952.38 = 566.19/x
  3. Step 3: Cross multiply
    690.75x = 952.38 × 566.19
  4. Step 4: Simplify right side
    690.75x = 539,228.03
  5. Step 5: Solve for x
    x = 539,228.03/690.75
  6. Step 6: Final answer
    x = 780.64

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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.