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Finding the Fourth Proportional to 1,799.01, 2,699.16 and 704.16

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Solution

The fourth proportional to 1,799.01, 2,699.16 and 704.16 is: 1,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.01 : 2,699.16 = 704.16 : x
  2. Step 2: Convert to fraction form
    1,799.01/2,699.16 = 704.16/x
  3. Step 3: Cross multiply
    1,799.01x = 2,699.16 × 704.16
  4. Step 4: Simplify right side
    1,799.01x = 1,900,640.51
  5. Step 5: Solve for x
    x = 1,900,640.51/1,799.01
  6. Step 6: Final answer
    x = 1,056.49

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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.