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Finding the Fourth Proportional to 1,064.58, 1,599.18 and 926.20

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Solution

The fourth proportional to 1,064.58, 1,599.18 and 926.20 is: 1,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.58 : 1,599.18 = 926.20 : x
  2. Step 2: Convert to fraction form
    1,064.58/1,599.18 = 926.20/x
  3. Step 3: Cross multiply
    1,064.58x = 1,599.18 × 926.20
  4. Step 4: Simplify right side
    1,064.58x = 1,481,159.04
  5. Step 5: Solve for x
    x = 1,481,159.04/1,064.58
  6. Step 6: Final answer
    x = 1,391.31

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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.