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Finding the Fourth Proportional to 728.84, 1,005.14 and 480.08

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Solution

The fourth proportional to 728.84, 1,005.14 and 480.08 is: 662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.84 : 1,005.14 = 480.08 : x
  2. Step 2: Convert to fraction form
    728.84/1,005.14 = 480.08/x
  3. Step 3: Cross multiply
    728.84x = 1,005.14 × 480.08
  4. Step 4: Simplify right side
    728.84x = 482,547.61
  5. Step 5: Solve for x
    x = 482,547.61/728.84
  6. Step 6: Final answer
    x = 662.08

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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.