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Finding the Fourth Proportional to 1,043.76, 1,441.60 and 693.84

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Solution

The fourth proportional to 1,043.76, 1,441.60 and 693.84 is: 958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.76 : 1,441.60 = 693.84 : x
  2. Step 2: Convert to fraction form
    1,043.76/1,441.60 = 693.84/x
  3. Step 3: Cross multiply
    1,043.76x = 1,441.60 × 693.84
  4. Step 4: Simplify right side
    1,043.76x = 1,000,239.74
  5. Step 5: Solve for x
    x = 1,000,239.74/1,043.76
  6. Step 6: Final answer
    x = 958.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.