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Finding the Fourth Proportional to 852.90, 1,281.80 and 506.42

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Solution

The fourth proportional to 852.90, 1,281.80 and 506.42 is: 761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.90 : 1,281.80 = 506.42 : x
  2. Step 2: Convert to fraction form
    852.90/1,281.80 = 506.42/x
  3. Step 3: Cross multiply
    852.90x = 1,281.80 × 506.42
  4. Step 4: Simplify right side
    852.90x = 649,129.16
  5. Step 5: Solve for x
    x = 649,129.16/852.90
  6. Step 6: Final answer
    x = 761.08

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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.