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Finding the Fourth Proportional to 1,578.63, 2,368.85 and 712.95

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Solution

The fourth proportional to 1,578.63, 2,368.85 and 712.95 is: 1,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.63 : 2,368.85 = 712.95 : x
  2. Step 2: Convert to fraction form
    1,578.63/2,368.85 = 712.95/x
  3. Step 3: Cross multiply
    1,578.63x = 2,368.85 × 712.95
  4. Step 4: Simplify right side
    1,578.63x = 1,688,871.61
  5. Step 5: Solve for x
    x = 1,688,871.61/1,578.63
  6. Step 6: Final answer
    x = 1,069.83

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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.