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Finding the Fourth Proportional to 783.35, 1,174.56 and 417.23

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Solution

The fourth proportional to 783.35, 1,174.56 and 417.23 is: 625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.35 : 1,174.56 = 417.23 : x
  2. Step 2: Convert to fraction form
    783.35/1,174.56 = 417.23/x
  3. Step 3: Cross multiply
    783.35x = 1,174.56 × 417.23
  4. Step 4: Simplify right side
    783.35x = 490,061.67
  5. Step 5: Solve for x
    x = 490,061.67/783.35
  6. Step 6: Final answer
    x = 625.60

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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.