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Finding the Fourth Proportional to 1,715.83, 2,570.31 and 790.12

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Solution

The fourth proportional to 1,715.83, 2,570.31 and 790.12 is: 1,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.83 : 2,570.31 = 790.12 : x
  2. Step 2: Convert to fraction form
    1,715.83/2,570.31 = 790.12/x
  3. Step 3: Cross multiply
    1,715.83x = 2,570.31 × 790.12
  4. Step 4: Simplify right side
    1,715.83x = 2,030,853.34
  5. Step 5: Solve for x
    x = 2,030,853.34/1,715.83
  6. Step 6: Final answer
    x = 1,183.60

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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.