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Finding the Fourth Proportional to 1,607.51, 2,411.42 and 633.38

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Solution

The fourth proportional to 1,607.51, 2,411.42 and 633.38 is: 950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.51 : 2,411.42 = 633.38 : x
  2. Step 2: Convert to fraction form
    1,607.51/2,411.42 = 633.38/x
  3. Step 3: Cross multiply
    1,607.51x = 2,411.42 × 633.38
  4. Step 4: Simplify right side
    1,607.51x = 1,527,329.98
  5. Step 5: Solve for x
    x = 1,527,329.98/1,607.51
  6. Step 6: Final answer
    x = 950.12

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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.