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Finding the Fourth Proportional to 924.47, 1,276.26 and 735.04

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Solution

The fourth proportional to 924.47, 1,276.26 and 735.04 is: 1,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.47 : 1,276.26 = 735.04 : x
  2. Step 2: Convert to fraction form
    924.47/1,276.26 = 735.04/x
  3. Step 3: Cross multiply
    924.47x = 1,276.26 × 735.04
  4. Step 4: Simplify right side
    924.47x = 938,102.15
  5. Step 5: Solve for x
    x = 938,102.15/924.47
  6. Step 6: Final answer
    x = 1,014.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.