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Finding the Fourth Proportional to 1,402.32, 2,099.04 and 776.64

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Solution

The fourth proportional to 1,402.32, 2,099.04 and 776.64 is: 1,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.32 : 2,099.04 = 776.64 : x
  2. Step 2: Convert to fraction form
    1,402.32/2,099.04 = 776.64/x
  3. Step 3: Cross multiply
    1,402.32x = 2,099.04 × 776.64
  4. Step 4: Simplify right side
    1,402.32x = 1,630,198.43
  5. Step 5: Solve for x
    x = 1,630,198.43/1,402.32
  6. Step 6: Final answer
    x = 1,162.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.