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Finding the Fourth Proportional to 1,300.15, 1,794.18 and 710.68

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Solution

The fourth proportional to 1,300.15, 1,794.18 and 710.68 is: 980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.15 : 1,794.18 = 710.68 : x
  2. Step 2: Convert to fraction form
    1,300.15/1,794.18 = 710.68/x
  3. Step 3: Cross multiply
    1,300.15x = 1,794.18 × 710.68
  4. Step 4: Simplify right side
    1,300.15x = 1,275,087.84
  5. Step 5: Solve for x
    x = 1,275,087.84/1,300.15
  6. Step 6: Final answer
    x = 980.72

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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.