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Finding the Fourth Proportional to 1,036.73, 1,429.52 and 705.35

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Solution

The fourth proportional to 1,036.73, 1,429.52 and 705.35 is: 972.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.73 : 1,429.52 = 705.35 : x
  2. Step 2: Convert to fraction form
    1,036.73/1,429.52 = 705.35/x
  3. Step 3: Cross multiply
    1,036.73x = 1,429.52 × 705.35
  4. Step 4: Simplify right side
    1,036.73x = 1,008,301.26
  5. Step 5: Solve for x
    x = 1,008,301.26/1,036.73
  6. Step 6: Final answer
    x = 972.58

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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.