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Finding the Fourth Proportional to 1,036.44, 1,430.31 and 594.35

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Solution

The fourth proportional to 1,036.44, 1,430.31 and 594.35 is: 820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.44 : 1,430.31 = 594.35 : x
  2. Step 2: Convert to fraction form
    1,036.44/1,430.31 = 594.35/x
  3. Step 3: Cross multiply
    1,036.44x = 1,430.31 × 594.35
  4. Step 4: Simplify right side
    1,036.44x = 850,097.60
  5. Step 5: Solve for x
    x = 850,097.60/1,036.44
  6. Step 6: Final answer
    x = 820.21

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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.