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Finding the Fourth Proportional to 1,570.56, 2,353.92 and 596

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Solution

The fourth proportional to 1,570.56, 2,353.92 and 596 is: 893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.56 : 2,353.92 = 596 : x
  2. Step 2: Convert to fraction form
    1,570.56/2,353.92 = 596/x
  3. Step 3: Cross multiply
    1,570.56x = 2,353.92 × 596
  4. Step 4: Simplify right side
    1,570.56x = 1,402,936.32
  5. Step 5: Solve for x
    x = 1,402,936.32/1,570.56
  6. Step 6: Final answer
    x = 893.27

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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.