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Finding the Fourth Proportional to 1,415, 2,122.34 and 570.68

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Solution

The fourth proportional to 1,415, 2,122.34 and 570.68 is: 855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415 : 2,122.34 = 570.68 : x
  2. Step 2: Convert to fraction form
    1,415/2,122.34 = 570.68/x
  3. Step 3: Cross multiply
    1,415x = 2,122.34 × 570.68
  4. Step 4: Simplify right side
    1,415x = 1,211,176.99
  5. Step 5: Solve for x
    x = 1,211,176.99/1,415
  6. Step 6: Final answer
    x = 855.96

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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.