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Finding the Fourth Proportional to 1,036.84, 1,430.87 and 594.82

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Solution

The fourth proportional to 1,036.84, 1,430.87 and 594.82 is: 820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.84 : 1,430.87 = 594.82 : x
  2. Step 2: Convert to fraction form
    1,036.84/1,430.87 = 594.82/x
  3. Step 3: Cross multiply
    1,036.84x = 1,430.87 × 594.82
  4. Step 4: Simplify right side
    1,036.84x = 851,110.09
  5. Step 5: Solve for x
    x = 851,110.09/1,036.84
  6. Step 6: Final answer
    x = 820.87

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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.