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Finding the Fourth Proportional to 1,065.79, 1,597.65 and 518.08

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Solution

The fourth proportional to 1,065.79, 1,597.65 and 518.08 is: 776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.79 : 1,597.65 = 518.08 : x
  2. Step 2: Convert to fraction form
    1,065.79/1,597.65 = 518.08/x
  3. Step 3: Cross multiply
    1,065.79x = 1,597.65 × 518.08
  4. Step 4: Simplify right side
    1,065.79x = 827,710.51
  5. Step 5: Solve for x
    x = 827,710.51/1,065.79
  6. Step 6: Final answer
    x = 776.62

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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.