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Finding the Fourth Proportional to 1,530.43, 2,295.95 and 708.18

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Solution

The fourth proportional to 1,530.43, 2,295.95 and 708.18 is: 1,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.43 : 2,295.95 = 708.18 : x
  2. Step 2: Convert to fraction form
    1,530.43/2,295.95 = 708.18/x
  3. Step 3: Cross multiply
    1,530.43x = 2,295.95 × 708.18
  4. Step 4: Simplify right side
    1,530.43x = 1,625,933.72
  5. Step 5: Solve for x
    x = 1,625,933.72/1,530.43
  6. Step 6: Final answer
    x = 1,062.40

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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.