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Finding the Fourth Proportional to 1,284.34, 1,771.59 and 760

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Solution

The fourth proportional to 1,284.34, 1,771.59 and 760 is: 1,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.34 : 1,771.59 = 760 : x
  2. Step 2: Convert to fraction form
    1,284.34/1,771.59 = 760/x
  3. Step 3: Cross multiply
    1,284.34x = 1,771.59 × 760
  4. Step 4: Simplify right side
    1,284.34x = 1,346,408.40
  5. Step 5: Solve for x
    x = 1,346,408.40/1,284.34
  6. Step 6: Final answer
    x = 1,048.33

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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.