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Finding the Fourth Proportional to 1,561.53, 2,342.58 and 465.77

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Solution

The fourth proportional to 1,561.53, 2,342.58 and 465.77 is: 698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.53 : 2,342.58 = 465.77 : x
  2. Step 2: Convert to fraction form
    1,561.53/2,342.58 = 465.77/x
  3. Step 3: Cross multiply
    1,561.53x = 2,342.58 × 465.77
  4. Step 4: Simplify right side
    1,561.53x = 1,091,091.77
  5. Step 5: Solve for x
    x = 1,091,091.77/1,561.53
  6. Step 6: Final answer
    x = 698.73

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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.