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Finding the Fourth Proportional to 1,056.24, 1,585.98 and 408.24

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Solution

The fourth proportional to 1,056.24, 1,585.98 and 408.24 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.24 : 1,585.98 = 408.24 : x
  2. Step 2: Convert to fraction form
    1,056.24/1,585.98 = 408.24/x
  3. Step 3: Cross multiply
    1,056.24x = 1,585.98 × 408.24
  4. Step 4: Simplify right side
    1,056.24x = 647,460.48
  5. Step 5: Solve for x
    x = 647,460.48/1,056.24
  6. Step 6: Final answer
    x = 612.99

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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.