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Finding the Fourth Proportional to 1,570.09, 2,355.48 and 596.20

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Solution

The fourth proportional to 1,570.09, 2,355.48 and 596.20 is: 894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.09 : 2,355.48 = 596.20 : x
  2. Step 2: Convert to fraction form
    1,570.09/2,355.48 = 596.20/x
  3. Step 3: Cross multiply
    1,570.09x = 2,355.48 × 596.20
  4. Step 4: Simplify right side
    1,570.09x = 1,404,337.18
  5. Step 5: Solve for x
    x = 1,404,337.18/1,570.09
  6. Step 6: Final answer
    x = 894.43

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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.