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Finding the Fourth Proportional to 1,410.86, 2,116.64 and 423.77

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Solution

The fourth proportional to 1,410.86, 2,116.64 and 423.77 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.86 : 2,116.64 = 423.77 : x
  2. Step 2: Convert to fraction form
    1,410.86/2,116.64 = 423.77/x
  3. Step 3: Cross multiply
    1,410.86x = 2,116.64 × 423.77
  4. Step 4: Simplify right side
    1,410.86x = 896,955.83
  5. Step 5: Solve for x
    x = 896,955.83/1,410.86
  6. Step 6: Final answer
    x = 635.75

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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.