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Finding the Fourth Proportional to 1,269.92, 1,752.53 and 710.37

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Solution

The fourth proportional to 1,269.92, 1,752.53 and 710.37 is: 980.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.92 : 1,752.53 = 710.37 : x
  2. Step 2: Convert to fraction form
    1,269.92/1,752.53 = 710.37/x
  3. Step 3: Cross multiply
    1,269.92x = 1,752.53 × 710.37
  4. Step 4: Simplify right side
    1,269.92x = 1,244,941.18
  5. Step 5: Solve for x
    x = 1,244,941.18/1,269.92
  6. Step 6: Final answer
    x = 980.33

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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.