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Finding the Fourth Proportional to 1,310.24, 1,963.89 and 570.47

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Solution

The fourth proportional to 1,310.24, 1,963.89 and 570.47 is: 855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.24 : 1,963.89 = 570.47 : x
  2. Step 2: Convert to fraction form
    1,310.24/1,963.89 = 570.47/x
  3. Step 3: Cross multiply
    1,310.24x = 1,963.89 × 570.47
  4. Step 4: Simplify right side
    1,310.24x = 1,120,330.51
  5. Step 5: Solve for x
    x = 1,120,330.51/1,310.24
  6. Step 6: Final answer
    x = 855.06

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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.