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Finding the Fourth Proportional to 1,066.75, 1,472.21 and 594.68

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Solution

The fourth proportional to 1,066.75, 1,472.21 and 594.68 is: 820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.75 : 1,472.21 = 594.68 : x
  2. Step 2: Convert to fraction form
    1,066.75/1,472.21 = 594.68/x
  3. Step 3: Cross multiply
    1,066.75x = 1,472.21 × 594.68
  4. Step 4: Simplify right side
    1,066.75x = 875,485.74
  5. Step 5: Solve for x
    x = 875,485.74/1,066.75
  6. Step 6: Final answer
    x = 820.70

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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.