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Finding the Fourth Proportional to 1,036.85, 1,430.82 and 564.71

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Solution

The fourth proportional to 1,036.85, 1,430.82 and 564.71 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.85 : 1,430.82 = 564.71 : x
  2. Step 2: Convert to fraction form
    1,036.85/1,430.82 = 564.71/x
  3. Step 3: Cross multiply
    1,036.85x = 1,430.82 × 564.71
  4. Step 4: Simplify right side
    1,036.85x = 807,991.21
  5. Step 5: Solve for x
    x = 807,991.21/1,036.85
  6. Step 6: Final answer
    x = 779.28

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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.