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Finding the Fourth Proportional to 1,036.72, 1,430.56 and 594.61

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Solution

The fourth proportional to 1,036.72, 1,430.56 and 594.61 is: 820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.72 : 1,430.56 = 594.61 : x
  2. Step 2: Convert to fraction form
    1,036.72/1,430.56 = 594.61/x
  3. Step 3: Cross multiply
    1,036.72x = 1,430.56 × 594.61
  4. Step 4: Simplify right side
    1,036.72x = 850,615.16
  5. Step 5: Solve for x
    x = 850,615.16/1,036.72
  6. Step 6: Final answer
    x = 820.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.