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Finding the Fourth Proportional to 1,570.90, 2,353.65 and 829.41

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Solution

The fourth proportional to 1,570.90, 2,353.65 and 829.41 is: 1,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.90 : 2,353.65 = 829.41 : x
  2. Step 2: Convert to fraction form
    1,570.90/2,353.65 = 829.41/x
  3. Step 3: Cross multiply
    1,570.90x = 2,353.65 × 829.41
  4. Step 4: Simplify right side
    1,570.90x = 1,952,140.85
  5. Step 5: Solve for x
    x = 1,952,140.85/1,570.90
  6. Step 6: Final answer
    x = 1,242.69

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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.