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Finding the Fourth Proportional to 1,569.97, 2,355.72 and 645.81

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Solution

The fourth proportional to 1,569.97, 2,355.72 and 645.81 is: 969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.97 : 2,355.72 = 645.81 : x
  2. Step 2: Convert to fraction form
    1,569.97/2,355.72 = 645.81/x
  3. Step 3: Cross multiply
    1,569.97x = 2,355.72 × 645.81
  4. Step 4: Simplify right side
    1,569.97x = 1,521,347.53
  5. Step 5: Solve for x
    x = 1,521,347.53/1,569.97
  6. Step 6: Final answer
    x = 969.03

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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.