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Finding the Fourth Proportional to 1,036.92, 1,555.44 and 296.64

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Solution

The fourth proportional to 1,036.92, 1,555.44 and 296.64 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.92 : 1,555.44 = 296.64 : x
  2. Step 2: Convert to fraction form
    1,036.92/1,555.44 = 296.64/x
  3. Step 3: Cross multiply
    1,036.92x = 1,555.44 × 296.64
  4. Step 4: Simplify right side
    1,036.92x = 461,405.72
  5. Step 5: Solve for x
    x = 461,405.72/1,036.92
  6. Step 6: Final answer
    x = 444.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.