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Finding the Fourth Proportional to 1,046.56, 1,568.64 and 468.24

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Solution

The fourth proportional to 1,046.56, 1,568.64 and 468.24 is: 701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.56 : 1,568.64 = 468.24 : x
  2. Step 2: Convert to fraction form
    1,046.56/1,568.64 = 468.24/x
  3. Step 3: Cross multiply
    1,046.56x = 1,568.64 × 468.24
  4. Step 4: Simplify right side
    1,046.56x = 734,499.99
  5. Step 5: Solve for x
    x = 734,499.99/1,046.56
  6. Step 6: Final answer
    x = 701.82

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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.