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Finding the Fourth Proportional to 1,561.64, 2,343.40 and 696.02

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Solution

The fourth proportional to 1,561.64, 2,343.40 and 696.02 is: 1,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.64 : 2,343.40 = 696.02 : x
  2. Step 2: Convert to fraction form
    1,561.64/2,343.40 = 696.02/x
  3. Step 3: Cross multiply
    1,561.64x = 2,343.40 × 696.02
  4. Step 4: Simplify right side
    1,561.64x = 1,631,053.27
  5. Step 5: Solve for x
    x = 1,631,053.27/1,561.64
  6. Step 6: Final answer
    x = 1,044.45

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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.