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Finding the Fourth Proportional to 1,269.98, 1,752.56 and 710.45

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Solution

The fourth proportional to 1,269.98, 1,752.56 and 710.45 is: 980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.98 : 1,752.56 = 710.45 : x
  2. Step 2: Convert to fraction form
    1,269.98/1,752.56 = 710.45/x
  3. Step 3: Cross multiply
    1,269.98x = 1,752.56 × 710.45
  4. Step 4: Simplify right side
    1,269.98x = 1,245,106.25
  5. Step 5: Solve for x
    x = 1,245,106.25/1,269.98
  6. Step 6: Final answer
    x = 980.41

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