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Finding the Fourth Proportional to 1,326.57, 1,987.12 and 777.08

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Solution

The fourth proportional to 1,326.57, 1,987.12 and 777.08 is: 1,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.57 : 1,987.12 = 777.08 : x
  2. Step 2: Convert to fraction form
    1,326.57/1,987.12 = 777.08/x
  3. Step 3: Cross multiply
    1,326.57x = 1,987.12 × 777.08
  4. Step 4: Simplify right side
    1,326.57x = 1,544,152.29
  5. Step 5: Solve for x
    x = 1,544,152.29/1,326.57
  6. Step 6: Final answer
    x = 1,164.02

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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.