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Finding the Fourth Proportional to 3,603.07, 5,404.14 and 970.79

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Solution

The fourth proportional to 3,603.07, 5,404.14 and 970.79 is: 1,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.07 : 5,404.14 = 970.79 : x
  2. Step 2: Convert to fraction form
    3,603.07/5,404.14 = 970.79/x
  3. Step 3: Cross multiply
    3,603.07x = 5,404.14 × 970.79
  4. Step 4: Simplify right side
    3,603.07x = 5,246,298.58
  5. Step 5: Solve for x
    x = 5,246,298.58/3,603.07
  6. Step 6: Final answer
    x = 1,456.06

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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.