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Finding the Fourth Proportional to 1,570.77, 2,355.51 and 645.85

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Solution

The fourth proportional to 1,570.77, 2,355.51 and 645.85 is: 968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.77 : 2,355.51 = 645.85 : x
  2. Step 2: Convert to fraction form
    1,570.77/2,355.51 = 645.85/x
  3. Step 3: Cross multiply
    1,570.77x = 2,355.51 × 645.85
  4. Step 4: Simplify right side
    1,570.77x = 1,521,299.43
  5. Step 5: Solve for x
    x = 1,521,299.43/1,570.77
  6. Step 6: Final answer
    x = 968.51

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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.