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Finding the Fourth Proportional to 1,561.51, 2,342.49 and 465.76

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Solution

The fourth proportional to 1,561.51, 2,342.49 and 465.76 is: 698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.51 : 2,342.49 = 465.76 : x
  2. Step 2: Convert to fraction form
    1,561.51/2,342.49 = 465.76/x
  3. Step 3: Cross multiply
    1,561.51x = 2,342.49 × 465.76
  4. Step 4: Simplify right side
    1,561.51x = 1,091,038.14
  5. Step 5: Solve for x
    x = 1,091,038.14/1,561.51
  6. Step 6: Final answer
    x = 698.71

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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.