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Finding the Fourth Proportional to 1,055.61, 1,582.02 and 764.09

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Solution

The fourth proportional to 1,055.61, 1,582.02 and 764.09 is: 1,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.61 : 1,582.02 = 764.09 : x
  2. Step 2: Convert to fraction form
    1,055.61/1,582.02 = 764.09/x
  3. Step 3: Cross multiply
    1,055.61x = 1,582.02 × 764.09
  4. Step 4: Simplify right side
    1,055.61x = 1,208,797.75
  5. Step 5: Solve for x
    x = 1,208,797.75/1,055.61
  6. Step 6: Final answer
    x = 1,145.12

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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.