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Finding the Fourth Proportional to 924.18, 1,275.36 and 504.54

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Solution

The fourth proportional to 924.18, 1,275.36 and 504.54 is: 696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.18 : 1,275.36 = 504.54 : x
  2. Step 2: Convert to fraction form
    924.18/1,275.36 = 504.54/x
  3. Step 3: Cross multiply
    924.18x = 1,275.36 × 504.54
  4. Step 4: Simplify right side
    924.18x = 643,473.32
  5. Step 5: Solve for x
    x = 643,473.32/924.18
  6. Step 6: Final answer
    x = 696.26

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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.