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Finding the Fourth Proportional to 1,570.38, 2,356.17 and 583.80

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Solution

The fourth proportional to 1,570.38, 2,356.17 and 583.80 is: 875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.38 : 2,356.17 = 583.80 : x
  2. Step 2: Convert to fraction form
    1,570.38/2,356.17 = 583.80/x
  3. Step 3: Cross multiply
    1,570.38x = 2,356.17 × 583.80
  4. Step 4: Simplify right side
    1,570.38x = 1,375,532.05
  5. Step 5: Solve for x
    x = 1,375,532.05/1,570.38
  6. Step 6: Final answer
    x = 875.92

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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.