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Finding the Fourth Proportional to 1,022.66, 1,411.28 and 556.92

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Solution

The fourth proportional to 1,022.66, 1,411.28 and 556.92 is: 768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.66 : 1,411.28 = 556.92 : x
  2. Step 2: Convert to fraction form
    1,022.66/1,411.28 = 556.92/x
  3. Step 3: Cross multiply
    1,022.66x = 1,411.28 × 556.92
  4. Step 4: Simplify right side
    1,022.66x = 785,970.06
  5. Step 5: Solve for x
    x = 785,970.06/1,022.66
  6. Step 6: Final answer
    x = 768.55

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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.