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Finding the Fourth Proportional to 1,078.61, 1,488.48 and 612.86

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Solution

The fourth proportional to 1,078.61, 1,488.48 and 612.86 is: 845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.61 : 1,488.48 = 612.86 : x
  2. Step 2: Convert to fraction form
    1,078.61/1,488.48 = 612.86/x
  3. Step 3: Cross multiply
    1,078.61x = 1,488.48 × 612.86
  4. Step 4: Simplify right side
    1,078.61x = 912,226.79
  5. Step 5: Solve for x
    x = 912,226.79/1,078.61
  6. Step 6: Final answer
    x = 845.74

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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.