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Finding the Fourth Proportional to 970.69, 1,339.23 and 550.99

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Solution

The fourth proportional to 970.69, 1,339.23 and 550.99 is: 760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.69 : 1,339.23 = 550.99 : x
  2. Step 2: Convert to fraction form
    970.69/1,339.23 = 550.99/x
  3. Step 3: Cross multiply
    970.69x = 1,339.23 × 550.99
  4. Step 4: Simplify right side
    970.69x = 737,902.34
  5. Step 5: Solve for x
    x = 737,902.34/970.69
  6. Step 6: Final answer
    x = 760.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.