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Finding the Fourth Proportional to 1,141.34, 1,710.56 and 775.22

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Solution

The fourth proportional to 1,141.34, 1,710.56 and 775.22 is: 1,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.34 : 1,710.56 = 775.22 : x
  2. Step 2: Convert to fraction form
    1,141.34/1,710.56 = 775.22/x
  3. Step 3: Cross multiply
    1,141.34x = 1,710.56 × 775.22
  4. Step 4: Simplify right side
    1,141.34x = 1,326,053.71
  5. Step 5: Solve for x
    x = 1,326,053.71/1,141.34
  6. Step 6: Final answer
    x = 1,161.84

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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.