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Finding the Fourth Proportional to 1,207.52, 1,809.66 and 1,064.96

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Solution

The fourth proportional to 1,207.52, 1,809.66 and 1,064.96 is: 1,596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.52 : 1,809.66 = 1,064.96 : x
  2. Step 2: Convert to fraction form
    1,207.52/1,809.66 = 1,064.96/x
  3. Step 3: Cross multiply
    1,207.52x = 1,809.66 × 1,064.96
  4. Step 4: Simplify right side
    1,207.52x = 1,927,215.51
  5. Step 5: Solve for x
    x = 1,927,215.51/1,207.52
  6. Step 6: Final answer
    x = 1,596.01

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