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Finding the Fourth Proportional to 1,036.21, 1,429.96 and 564.10

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Solution

The fourth proportional to 1,036.21, 1,429.96 and 564.10 is: 778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.21 : 1,429.96 = 564.10 : x
  2. Step 2: Convert to fraction form
    1,036.21/1,429.96 = 564.10/x
  3. Step 3: Cross multiply
    1,036.21x = 1,429.96 × 564.10
  4. Step 4: Simplify right side
    1,036.21x = 806,642.94
  5. Step 5: Solve for x
    x = 806,642.94/1,036.21
  6. Step 6: Final answer
    x = 778.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.