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Finding the Fourth Proportional to 1,036.23, 1,429.93 and 588.07

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Solution

The fourth proportional to 1,036.23, 1,429.93 and 588.07 is: 811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.23 : 1,429.93 = 588.07 : x
  2. Step 2: Convert to fraction form
    1,036.23/1,429.93 = 588.07/x
  3. Step 3: Cross multiply
    1,036.23x = 1,429.93 × 588.07
  4. Step 4: Simplify right side
    1,036.23x = 840,901.46
  5. Step 5: Solve for x
    x = 840,901.46/1,036.23
  6. Step 6: Final answer
    x = 811.50

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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.