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Finding the Fourth Proportional to 924.01, 1,384.82 and 485.07

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Solution

The fourth proportional to 924.01, 1,384.82 and 485.07 is: 726.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.01 : 1,384.82 = 485.07 : x
  2. Step 2: Convert to fraction form
    924.01/1,384.82 = 485.07/x
  3. Step 3: Cross multiply
    924.01x = 1,384.82 × 485.07
  4. Step 4: Simplify right side
    924.01x = 671,732.00
  5. Step 5: Solve for x
    x = 671,732.00/924.01
  6. Step 6: Final answer
    x = 726.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.