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Finding the Fourth Proportional to 1,036.57, 1,430.52 and 594.56

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Solution

The fourth proportional to 1,036.57, 1,430.52 and 594.56 is: 820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.57 : 1,430.52 = 594.56 : x
  2. Step 2: Convert to fraction form
    1,036.57/1,430.52 = 594.56/x
  3. Step 3: Cross multiply
    1,036.57x = 1,430.52 × 594.56
  4. Step 4: Simplify right side
    1,036.57x = 850,529.97
  5. Step 5: Solve for x
    x = 850,529.97/1,036.57
  6. Step 6: Final answer
    x = 820.52

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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.