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Finding the Fourth Proportional to 1,330.37, 1,835.90 and 771.02

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Solution

The fourth proportional to 1,330.37, 1,835.90 and 771.02 is: 1,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.37 : 1,835.90 = 771.02 : x
  2. Step 2: Convert to fraction form
    1,330.37/1,835.90 = 771.02/x
  3. Step 3: Cross multiply
    1,330.37x = 1,835.90 × 771.02
  4. Step 4: Simplify right side
    1,330.37x = 1,415,515.62
  5. Step 5: Solve for x
    x = 1,415,515.62/1,330.37
  6. Step 6: Final answer
    x = 1,064.00

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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.