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Finding the Fourth Proportional to 1,155.22, 1,594.05 and 657.86

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Solution

The fourth proportional to 1,155.22, 1,594.05 and 657.86 is: 907.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.22 : 1,594.05 = 657.86 : x
  2. Step 2: Convert to fraction form
    1,155.22/1,594.05 = 657.86/x
  3. Step 3: Cross multiply
    1,155.22x = 1,594.05 × 657.86
  4. Step 4: Simplify right side
    1,155.22x = 1,048,658.44
  5. Step 5: Solve for x
    x = 1,048,658.44/1,155.22
  6. Step 6: Final answer
    x = 907.76

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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.