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Finding the Fourth Proportional to 924.68, 1,384.83 and 461.00

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Solution

The fourth proportional to 924.68, 1,384.83 and 461.00 is: 690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.68 : 1,384.83 = 461.00 : x
  2. Step 2: Convert to fraction form
    924.68/1,384.83 = 461.00/x
  3. Step 3: Cross multiply
    924.68x = 1,384.83 × 461.00
  4. Step 4: Simplify right side
    924.68x = 638,399.71
  5. Step 5: Solve for x
    x = 638,399.71/924.68
  6. Step 6: Final answer
    x = 690.40

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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.