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Finding the Fourth Proportional to 1,036.53, 1,429.31 and 663.53

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Solution

The fourth proportional to 1,036.53, 1,429.31 and 663.53 is: 914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.53 : 1,429.31 = 663.53 : x
  2. Step 2: Convert to fraction form
    1,036.53/1,429.31 = 663.53/x
  3. Step 3: Cross multiply
    1,036.53x = 1,429.31 × 663.53
  4. Step 4: Simplify right side
    1,036.53x = 948,384.58
  5. Step 5: Solve for x
    x = 948,384.58/1,036.53
  6. Step 6: Final answer
    x = 914.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.