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Finding the Fourth Proportional to 1,570.32, 2,352.98 and 829.91

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Solution

The fourth proportional to 1,570.32, 2,352.98 and 829.91 is: 1,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.32 : 2,352.98 = 829.91 : x
  2. Step 2: Convert to fraction form
    1,570.32/2,352.98 = 829.91/x
  3. Step 3: Cross multiply
    1,570.32x = 2,352.98 × 829.91
  4. Step 4: Simplify right side
    1,570.32x = 1,952,769.59
  5. Step 5: Solve for x
    x = 1,952,769.59/1,570.32
  6. Step 6: Final answer
    x = 1,243.55

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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.