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Finding the Fourth Proportional to 924.83, 1,384.05 and 573.29

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Solution

The fourth proportional to 924.83, 1,384.05 and 573.29 is: 857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.83 : 1,384.05 = 573.29 : x
  2. Step 2: Convert to fraction form
    924.83/1,384.05 = 573.29/x
  3. Step 3: Cross multiply
    924.83x = 1,384.05 × 573.29
  4. Step 4: Simplify right side
    924.83x = 793,455.10
  5. Step 5: Solve for x
    x = 793,455.10/924.83
  6. Step 6: Final answer
    x = 857.95

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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.