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Finding the Fourth Proportional to 1,732.49, 2,599.19 and 621.98

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Solution

The fourth proportional to 1,732.49, 2,599.19 and 621.98 is: 933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.49 : 2,599.19 = 621.98 : x
  2. Step 2: Convert to fraction form
    1,732.49/2,599.19 = 621.98/x
  3. Step 3: Cross multiply
    1,732.49x = 2,599.19 × 621.98
  4. Step 4: Simplify right side
    1,732.49x = 1,616,640.17
  5. Step 5: Solve for x
    x = 1,616,640.17/1,732.49
  6. Step 6: Final answer
    x = 933.13

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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.