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Finding the Fourth Proportional to 924.04, 1,384.44 and 777.63

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Solution

The fourth proportional to 924.04, 1,384.44 and 777.63 is: 1,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.04 : 1,384.44 = 777.63 : x
  2. Step 2: Convert to fraction form
    924.04/1,384.44 = 777.63/x
  3. Step 3: Cross multiply
    924.04x = 1,384.44 × 777.63
  4. Step 4: Simplify right side
    924.04x = 1,076,588.73
  5. Step 5: Solve for x
    x = 1,076,588.73/924.04
  6. Step 6: Final answer
    x = 1,165.09

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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.