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Finding the Fourth Proportional to 919.37, 1,379.57 and 714.35

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Solution

The fourth proportional to 919.37, 1,379.57 and 714.35 is: 1,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.37 : 1,379.57 = 714.35 : x
  2. Step 2: Convert to fraction form
    919.37/1,379.57 = 714.35/x
  3. Step 3: Cross multiply
    919.37x = 1,379.57 × 714.35
  4. Step 4: Simplify right side
    919.37x = 985,495.83
  5. Step 5: Solve for x
    x = 985,495.83/919.37
  6. Step 6: Final answer
    x = 1,071.93

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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.