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Finding the Fourth Proportional to 1,036.80, 1,430.78 and 594.95

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Solution

The fourth proportional to 1,036.80, 1,430.78 and 594.95 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.80 : 1,430.78 = 594.95 : x
  2. Step 2: Convert to fraction form
    1,036.80/1,430.78 = 594.95/x
  3. Step 3: Cross multiply
    1,036.80x = 1,430.78 × 594.95
  4. Step 4: Simplify right side
    1,036.80x = 851,232.43
  5. Step 5: Solve for x
    x = 851,232.43/1,036.80
  6. Step 6: Final answer
    x = 821.02

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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.