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Finding the Fourth Proportional to 1,565.21, 2,159.97 and 857.09

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Solution

The fourth proportional to 1,565.21, 2,159.97 and 857.09 is: 1,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.21 : 2,159.97 = 857.09 : x
  2. Step 2: Convert to fraction form
    1,565.21/2,159.97 = 857.09/x
  3. Step 3: Cross multiply
    1,565.21x = 2,159.97 × 857.09
  4. Step 4: Simplify right side
    1,565.21x = 1,851,288.69
  5. Step 5: Solve for x
    x = 1,851,288.69/1,565.21
  6. Step 6: Final answer
    x = 1,182.77

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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.