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Finding the Fourth Proportional to 710.13, 1,065.19 and 277.59

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Solution

The fourth proportional to 710.13, 1,065.19 and 277.59 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.13 : 1,065.19 = 277.59 : x
  2. Step 2: Convert to fraction form
    710.13/1,065.19 = 277.59/x
  3. Step 3: Cross multiply
    710.13x = 1,065.19 × 277.59
  4. Step 4: Simplify right side
    710.13x = 295,686.09
  5. Step 5: Solve for x
    x = 295,686.09/710.13
  6. Step 6: Final answer
    x = 416.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.