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Finding the Fourth Proportional to 924.99, 1,389.81 and 596.13

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Solution

The fourth proportional to 924.99, 1,389.81 and 596.13 is: 895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.99 : 1,389.81 = 596.13 : x
  2. Step 2: Convert to fraction form
    924.99/1,389.81 = 596.13/x
  3. Step 3: Cross multiply
    924.99x = 1,389.81 × 596.13
  4. Step 4: Simplify right side
    924.99x = 828,507.44
  5. Step 5: Solve for x
    x = 828,507.44/924.99
  6. Step 6: Final answer
    x = 895.69

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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.