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Finding the Fourth Proportional to 972.22, 1,455.57 and 775.36

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Solution

The fourth proportional to 972.22, 1,455.57 and 775.36 is: 1,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.22 : 1,455.57 = 775.36 : x
  2. Step 2: Convert to fraction form
    972.22/1,455.57 = 775.36/x
  3. Step 3: Cross multiply
    972.22x = 1,455.57 × 775.36
  4. Step 4: Simplify right side
    972.22x = 1,128,590.76
  5. Step 5: Solve for x
    x = 1,128,590.76/972.22
  6. Step 6: Final answer
    x = 1,160.84

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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.