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Finding the Fourth Proportional to 1,276.21, 1,761.14 and 709.01

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Solution

The fourth proportional to 1,276.21, 1,761.14 and 709.01 is: 978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.21 : 1,761.14 = 709.01 : x
  2. Step 2: Convert to fraction form
    1,276.21/1,761.14 = 709.01/x
  3. Step 3: Cross multiply
    1,276.21x = 1,761.14 × 709.01
  4. Step 4: Simplify right side
    1,276.21x = 1,248,653.52
  5. Step 5: Solve for x
    x = 1,248,653.52/1,276.21
  6. Step 6: Final answer
    x = 978.41

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Half scale
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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.