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Finding the Fourth Proportional to 1,155.03, 1,594.23 and 657.83

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Solution

The fourth proportional to 1,155.03, 1,594.23 and 657.83 is: 907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.03 : 1,594.23 = 657.83 : x
  2. Step 2: Convert to fraction form
    1,155.03/1,594.23 = 657.83/x
  3. Step 3: Cross multiply
    1,155.03x = 1,594.23 × 657.83
  4. Step 4: Simplify right side
    1,155.03x = 1,048,724.35
  5. Step 5: Solve for x
    x = 1,048,724.35/1,155.03
  6. Step 6: Final answer
    x = 907.96

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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.