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Finding the Fourth Proportional to 1,561.45, 2,341.81 and 465.72

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Solution

The fourth proportional to 1,561.45, 2,341.81 and 465.72 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.45 : 2,341.81 = 465.72 : x
  2. Step 2: Convert to fraction form
    1,561.45/2,341.81 = 465.72/x
  3. Step 3: Cross multiply
    1,561.45x = 2,341.81 × 465.72
  4. Step 4: Simplify right side
    1,561.45x = 1,090,627.75
  5. Step 5: Solve for x
    x = 1,090,627.75/1,561.45
  6. Step 6: Final answer
    x = 698.47

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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.