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Finding the Fourth Proportional to 1,056.76, 1,586.51 and 813.46

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Solution

The fourth proportional to 1,056.76, 1,586.51 and 813.46 is: 1,221.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.76 : 1,586.51 = 813.46 : x
  2. Step 2: Convert to fraction form
    1,056.76/1,586.51 = 813.46/x
  3. Step 3: Cross multiply
    1,056.76x = 1,586.51 × 813.46
  4. Step 4: Simplify right side
    1,056.76x = 1,290,562.42
  5. Step 5: Solve for x
    x = 1,290,562.42/1,056.76
  6. Step 6: Final answer
    x = 1,221.24

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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.