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Finding the Fourth Proportional to 1,564.70, 2,347.20 and 742.77

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Solution

The fourth proportional to 1,564.70, 2,347.20 and 742.77 is: 1,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.70 : 2,347.20 = 742.77 : x
  2. Step 2: Convert to fraction form
    1,564.70/2,347.20 = 742.77/x
  3. Step 3: Cross multiply
    1,564.70x = 2,347.20 × 742.77
  4. Step 4: Simplify right side
    1,564.70x = 1,743,429.74
  5. Step 5: Solve for x
    x = 1,743,429.74/1,564.70
  6. Step 6: Final answer
    x = 1,114.23

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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.