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Finding the Fourth Proportional to 829.50, 1,242.08 and 570.30

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Solution

The fourth proportional to 829.50, 1,242.08 and 570.30 is: 853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.50 : 1,242.08 = 570.30 : x
  2. Step 2: Convert to fraction form
    829.50/1,242.08 = 570.30/x
  3. Step 3: Cross multiply
    829.50x = 1,242.08 × 570.30
  4. Step 4: Simplify right side
    829.50x = 708,358.22
  5. Step 5: Solve for x
    x = 708,358.22/829.50
  6. Step 6: Final answer
    x = 853.96

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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.