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Finding the Fourth Proportional to 616.83, 926.51 and 507.48

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Solution

The fourth proportional to 616.83, 926.51 and 507.48 is: 762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.83 : 926.51 = 507.48 : x
  2. Step 2: Convert to fraction form
    616.83/926.51 = 507.48/x
  3. Step 3: Cross multiply
    616.83x = 926.51 × 507.48
  4. Step 4: Simplify right side
    616.83x = 470,182.76
  5. Step 5: Solve for x
    x = 470,182.76/616.83
  6. Step 6: Final answer
    x = 762.26

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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.