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Finding the Fourth Proportional to 1,570.10, 2,353.80 and 596.90

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Solution

The fourth proportional to 1,570.10, 2,353.80 and 596.90 is: 894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.10 : 2,353.80 = 596.90 : x
  2. Step 2: Convert to fraction form
    1,570.10/2,353.80 = 596.90/x
  3. Step 3: Cross multiply
    1,570.10x = 2,353.80 × 596.90
  4. Step 4: Simplify right side
    1,570.10x = 1,404,991.34
  5. Step 5: Solve for x
    x = 1,404,991.34/1,570.10
  6. Step 6: Final answer
    x = 894.84

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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.