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Finding the Fourth Proportional to 1,036.23, 1,429.37 and 663.08

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Solution

The fourth proportional to 1,036.23, 1,429.37 and 663.08 is: 914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.23 : 1,429.37 = 663.08 : x
  2. Step 2: Convert to fraction form
    1,036.23/1,429.37 = 663.08/x
  3. Step 3: Cross multiply
    1,036.23x = 1,429.37 × 663.08
  4. Step 4: Simplify right side
    1,036.23x = 947,788.32
  5. Step 5: Solve for x
    x = 947,788.32/1,036.23
  6. Step 6: Final answer
    x = 914.65

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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.