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Finding the Fourth Proportional to 3,068.96, 4,603.44 and 760.46

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Solution

The fourth proportional to 3,068.96, 4,603.44 and 760.46 is: 1,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.96 : 4,603.44 = 760.46 : x
  2. Step 2: Convert to fraction form
    3,068.96/4,603.44 = 760.46/x
  3. Step 3: Cross multiply
    3,068.96x = 4,603.44 × 760.46
  4. Step 4: Simplify right side
    3,068.96x = 3,500,731.98
  5. Step 5: Solve for x
    x = 3,500,731.98/3,068.96
  6. Step 6: Final answer
    x = 1,140.69

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1.5x scale

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.