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Finding the Fourth Proportional to 1,036.91, 1,430.92 and 564.83

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Solution

The fourth proportional to 1,036.91, 1,430.92 and 564.83 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.91 : 1,430.92 = 564.83 : x
  2. Step 2: Convert to fraction form
    1,036.91/1,430.92 = 564.83/x
  3. Step 3: Cross multiply
    1,036.91x = 1,430.92 × 564.83
  4. Step 4: Simplify right side
    1,036.91x = 808,220.80
  5. Step 5: Solve for x
    x = 808,220.80/1,036.91
  6. Step 6: Final answer
    x = 779.46

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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.