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Finding the Fourth Proportional to 1,056.74, 1,583.44 and 708.80

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Solution

The fourth proportional to 1,056.74, 1,583.44 and 708.80 is: 1,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.74 : 1,583.44 = 708.80 : x
  2. Step 2: Convert to fraction form
    1,056.74/1,583.44 = 708.80/x
  3. Step 3: Cross multiply
    1,056.74x = 1,583.44 × 708.80
  4. Step 4: Simplify right side
    1,056.74x = 1,122,332.58
  5. Step 5: Solve for x
    x = 1,122,332.58/1,056.74
  6. Step 6: Final answer
    x = 1,062.07

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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.