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Finding the Fourth Proportional to 798.84, 1,199.88 and 776.16

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Solution

The fourth proportional to 798.84, 1,199.88 and 776.16 is: 1,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,199.88 = 776.16 : x
  2. Step 2: Convert to fraction form
    798.84/1,199.88 = 776.16/x
  3. Step 3: Cross multiply
    798.84x = 1,199.88 × 776.16
  4. Step 4: Simplify right side
    798.84x = 931,298.86
  5. Step 5: Solve for x
    x = 931,298.86/798.84
  6. Step 6: Final answer
    x = 1,165.81

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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.