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Finding the Fourth Proportional to 1,229.35, 1,696.68 and 705.28

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Solution

The fourth proportional to 1,229.35, 1,696.68 and 705.28 is: 973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.35 : 1,696.68 = 705.28 : x
  2. Step 2: Convert to fraction form
    1,229.35/1,696.68 = 705.28/x
  3. Step 3: Cross multiply
    1,229.35x = 1,696.68 × 705.28
  4. Step 4: Simplify right side
    1,229.35x = 1,196,634.47
  5. Step 5: Solve for x
    x = 1,196,634.47/1,229.35
  6. Step 6: Final answer
    x = 973.39

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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.