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Finding the Fourth Proportional to 1,570.08, 2,353.30 and 746.47

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Solution

The fourth proportional to 1,570.08, 2,353.30 and 746.47 is: 1,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.08 : 2,353.30 = 746.47 : x
  2. Step 2: Convert to fraction form
    1,570.08/2,353.30 = 746.47/x
  3. Step 3: Cross multiply
    1,570.08x = 2,353.30 × 746.47
  4. Step 4: Simplify right side
    1,570.08x = 1,756,659.89
  5. Step 5: Solve for x
    x = 1,756,659.89/1,570.08
  6. Step 6: Final answer
    x = 1,118.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.