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Finding the Fourth Proportional to 1,036.73, 1,430.55 and 588.59

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Solution

The fourth proportional to 1,036.73, 1,430.55 and 588.59 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.73 : 1,430.55 = 588.59 : x
  2. Step 2: Convert to fraction form
    1,036.73/1,430.55 = 588.59/x
  3. Step 3: Cross multiply
    1,036.73x = 1,430.55 × 588.59
  4. Step 4: Simplify right side
    1,036.73x = 842,000.27
  5. Step 5: Solve for x
    x = 842,000.27/1,036.73
  6. Step 6: Final answer
    x = 812.17

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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.