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Finding the Fourth Proportional to 1,696.98, 2,545.66 and 464.34

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Solution

The fourth proportional to 1,696.98, 2,545.66 and 464.34 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.98 : 2,545.66 = 464.34 : x
  2. Step 2: Convert to fraction form
    1,696.98/2,545.66 = 464.34/x
  3. Step 3: Cross multiply
    1,696.98x = 2,545.66 × 464.34
  4. Step 4: Simplify right side
    1,696.98x = 1,182,051.76
  5. Step 5: Solve for x
    x = 1,182,051.76/1,696.98
  6. Step 6: Final answer
    x = 696.56

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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.