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Finding the Fourth Proportional to 705.84, 980.77 and 698.23

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Solution

The fourth proportional to 705.84, 980.77 and 698.23 is: 970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 980.77 = 698.23 : x
  2. Step 2: Convert to fraction form
    705.84/980.77 = 698.23/x
  3. Step 3: Cross multiply
    705.84x = 980.77 × 698.23
  4. Step 4: Simplify right side
    705.84x = 684,803.04
  5. Step 5: Solve for x
    x = 684,803.04/705.84
  6. Step 6: Final answer
    x = 970.20

Related Problems

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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 (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.