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Finding the Fourth Proportional to 1,416.29, 1,952.19 and 1,056.77

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Solution

The fourth proportional to 1,416.29, 1,952.19 and 1,056.77 is: 1,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.29 : 1,952.19 = 1,056.77 : x
  2. Step 2: Convert to fraction form
    1,416.29/1,952.19 = 1,056.77/x
  3. Step 3: Cross multiply
    1,416.29x = 1,952.19 × 1,056.77
  4. Step 4: Simplify right side
    1,416.29x = 2,063,015.83
  5. Step 5: Solve for x
    x = 2,063,015.83/1,416.29
  6. Step 6: Final answer
    x = 1,456.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.