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Finding the Fourth Proportional to 1,302.85, 1,797.60 and 771.40

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Solution

The fourth proportional to 1,302.85, 1,797.60 and 771.40 is: 1,064.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.85 : 1,797.60 = 771.40 : x
  2. Step 2: Convert to fraction form
    1,302.85/1,797.60 = 771.40/x
  3. Step 3: Cross multiply
    1,302.85x = 1,797.60 × 771.40
  4. Step 4: Simplify right side
    1,302.85x = 1,386,668.64
  5. Step 5: Solve for x
    x = 1,386,668.64/1,302.85
  6. Step 6: Final answer
    x = 1,064.33

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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.