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Finding the Fourth Proportional to 948.84, 1,309.04 and 700.76

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Solution

The fourth proportional to 948.84, 1,309.04 and 700.76 is: 966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.84 : 1,309.04 = 700.76 : x
  2. Step 2: Convert to fraction form
    948.84/1,309.04 = 700.76/x
  3. Step 3: Cross multiply
    948.84x = 1,309.04 × 700.76
  4. Step 4: Simplify right side
    948.84x = 917,322.87
  5. Step 5: Solve for x
    x = 917,322.87/948.84
  6. Step 6: Final answer
    x = 966.78

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Half scale
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Double 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.