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Finding the Fourth Proportional to 1,056.26, 1,585.76 and 812.96

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Solution

The fourth proportional to 1,056.26, 1,585.76 and 812.96 is: 1,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.26 : 1,585.76 = 812.96 : x
  2. Step 2: Convert to fraction form
    1,056.26/1,585.76 = 812.96/x
  3. Step 3: Cross multiply
    1,056.26x = 1,585.76 × 812.96
  4. Step 4: Simplify right side
    1,056.26x = 1,289,159.45
  5. Step 5: Solve for x
    x = 1,289,159.45/1,056.26
  6. Step 6: Final answer
    x = 1,220.49

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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.