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Finding the Fourth Proportional to 1,561.76, 2,342.59 and 466.10

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Solution

The fourth proportional to 1,561.76, 2,342.59 and 466.10 is: 699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.76 : 2,342.59 = 466.10 : x
  2. Step 2: Convert to fraction form
    1,561.76/2,342.59 = 466.10/x
  3. Step 3: Cross multiply
    1,561.76x = 2,342.59 × 466.10
  4. Step 4: Simplify right side
    1,561.76x = 1,091,880.40
  5. Step 5: Solve for x
    x = 1,091,880.40/1,561.76
  6. Step 6: Final answer
    x = 699.13

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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.