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Finding the Fourth Proportional to 924.90, 1,200.75 and 924.90

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Solution

The fourth proportional to 924.90, 1,200.75 and 924.90 is: 1,200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.90 : 1,200.75 = 924.90 : x
  2. Step 2: Convert to fraction form
    924.90/1,200.75 = 924.90/x
  3. Step 3: Cross multiply
    924.90x = 1,200.75 × 924.90
  4. Step 4: Simplify right side
    924.90x = 1,110,573.68
  5. Step 5: Solve for x
    x = 1,110,573.68/924.90
  6. Step 6: Final answer
    x = 1,200.75

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.