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Finding the Fourth Proportional to 1,559.66, 2,339.46 and 464.76

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Solution

The fourth proportional to 1,559.66, 2,339.46 and 464.76 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.66 : 2,339.46 = 464.76 : x
  2. Step 2: Convert to fraction form
    1,559.66/2,339.46 = 464.76/x
  3. Step 3: Cross multiply
    1,559.66x = 2,339.46 × 464.76
  4. Step 4: Simplify right side
    1,559.66x = 1,087,287.43
  5. Step 5: Solve for x
    x = 1,087,287.43/1,559.66
  6. Step 6: Final answer
    x = 697.13

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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.