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Finding the Fourth Proportional to 1,168.54, 1,752.60 and 583.35

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Solution

The fourth proportional to 1,168.54, 1,752.60 and 583.35 is: 874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.54 : 1,752.60 = 583.35 : x
  2. Step 2: Convert to fraction form
    1,168.54/1,752.60 = 583.35/x
  3. Step 3: Cross multiply
    1,168.54x = 1,752.60 × 583.35
  4. Step 4: Simplify right side
    1,168.54x = 1,022,379.21
  5. Step 5: Solve for x
    x = 1,022,379.21/1,168.54
  6. Step 6: Final answer
    x = 874.92

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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.