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Finding the Fourth Proportional to 617.58, 926.42 and 509.04

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Solution

The fourth proportional to 617.58, 926.42 and 509.04 is: 763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 926.42 = 509.04 : x
  2. Step 2: Convert to fraction form
    617.58/926.42 = 509.04/x
  3. Step 3: Cross multiply
    617.58x = 926.42 × 509.04
  4. Step 4: Simplify right side
    617.58x = 471,582.29
  5. Step 5: Solve for x
    x = 471,582.29/617.58
  6. Step 6: Final answer
    x = 763.60

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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.