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Finding the Fourth Proportional to 1,270.04, 1,752.75 and 710.69

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Solution

The fourth proportional to 1,270.04, 1,752.75 and 710.69 is: 980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.04 : 1,752.75 = 710.69 : x
  2. Step 2: Convert to fraction form
    1,270.04/1,752.75 = 710.69/x
  3. Step 3: Cross multiply
    1,270.04x = 1,752.75 × 710.69
  4. Step 4: Simplify right side
    1,270.04x = 1,245,653.13
  5. Step 5: Solve for x
    x = 1,245,653.13/1,270.04
  6. Step 6: Final answer
    x = 980.80

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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.