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Finding the Fourth Proportional to 924.32, 1,377.64 and 728.48

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Solution

The fourth proportional to 924.32, 1,377.64 and 728.48 is: 1,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.32 : 1,377.64 = 728.48 : x
  2. Step 2: Convert to fraction form
    924.32/1,377.64 = 728.48/x
  3. Step 3: Cross multiply
    924.32x = 1,377.64 × 728.48
  4. Step 4: Simplify right side
    924.32x = 1,003,583.19
  5. Step 5: Solve for x
    x = 1,003,583.19/924.32
  6. Step 6: Final answer
    x = 1,085.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.