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Finding the Fourth Proportional to 1,036.89, 1,430.87 and 594.83

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Solution

The fourth proportional to 1,036.89, 1,430.87 and 594.83 is: 820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.89 : 1,430.87 = 594.83 : x
  2. Step 2: Convert to fraction form
    1,036.89/1,430.87 = 594.83/x
  3. Step 3: Cross multiply
    1,036.89x = 1,430.87 × 594.83
  4. Step 4: Simplify right side
    1,036.89x = 851,125.01
  5. Step 5: Solve for x
    x = 851,125.01/1,036.89
  6. Step 6: Final answer
    x = 820.84

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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.