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Finding the Fourth Proportional to 1,792.06, 2,688.78 and 696.51

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Solution

The fourth proportional to 1,792.06, 2,688.78 and 696.51 is: 1,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,792.06 : 2,688.78 = 696.51 : x
  2. Step 2: Convert to fraction form
    1,792.06/2,688.78 = 696.51/x
  3. Step 3: Cross multiply
    1,792.06x = 2,688.78 × 696.51
  4. Step 4: Simplify right side
    1,792.06x = 1,872,767.14
  5. Step 5: Solve for x
    x = 1,872,767.14/1,792.06
  6. Step 6: Final answer
    x = 1,045.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.