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Finding the Fourth Proportional to 1,865.64, 2,797.98 and 710.76

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Solution

The fourth proportional to 1,865.64, 2,797.98 and 710.76 is: 1,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.64 : 2,797.98 = 710.76 : x
  2. Step 2: Convert to fraction form
    1,865.64/2,797.98 = 710.76/x
  3. Step 3: Cross multiply
    1,865.64x = 2,797.98 × 710.76
  4. Step 4: Simplify right side
    1,865.64x = 1,988,692.26
  5. Step 5: Solve for x
    x = 1,988,692.26/1,865.64
  6. Step 6: Final answer
    x = 1,065.96

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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.