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Finding the Fourth Proportional to 1,078.63, 1,488.50 and 612.88

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Solution

The fourth proportional to 1,078.63, 1,488.50 and 612.88 is: 845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.63 : 1,488.50 = 612.88 : x
  2. Step 2: Convert to fraction form
    1,078.63/1,488.50 = 612.88/x
  3. Step 3: Cross multiply
    1,078.63x = 1,488.50 × 612.88
  4. Step 4: Simplify right side
    1,078.63x = 912,271.88
  5. Step 5: Solve for x
    x = 912,271.88/1,078.63
  6. Step 6: Final answer
    x = 845.77

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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.