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Finding the Fourth Proportional to 917.51, 1,373.91 and 506.19

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Solution

The fourth proportional to 917.51, 1,373.91 and 506.19 is: 757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.51 : 1,373.91 = 506.19 : x
  2. Step 2: Convert to fraction form
    917.51/1,373.91 = 506.19/x
  3. Step 3: Cross multiply
    917.51x = 1,373.91 × 506.19
  4. Step 4: Simplify right side
    917.51x = 695,452.63
  5. Step 5: Solve for x
    x = 695,452.63/917.51
  6. Step 6: Final answer
    x = 757.98

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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.