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Finding the Fourth Proportional to 1,599.28, 2,398.91 and 776.84

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Solution

The fourth proportional to 1,599.28, 2,398.91 and 776.84 is: 1,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.28 : 2,398.91 = 776.84 : x
  2. Step 2: Convert to fraction form
    1,599.28/2,398.91 = 776.84/x
  3. Step 3: Cross multiply
    1,599.28x = 2,398.91 × 776.84
  4. Step 4: Simplify right side
    1,599.28x = 1,863,569.24
  5. Step 5: Solve for x
    x = 1,863,569.24/1,599.28
  6. Step 6: Final answer
    x = 1,165.26

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1.5x scale

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.