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Finding the Fourth Proportional to 740.90, 1,021.29 and 507.62

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Solution

The fourth proportional to 740.90, 1,021.29 and 507.62 is: 699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.90 : 1,021.29 = 507.62 : x
  2. Step 2: Convert to fraction form
    740.90/1,021.29 = 507.62/x
  3. Step 3: Cross multiply
    740.90x = 1,021.29 × 507.62
  4. Step 4: Simplify right side
    740.90x = 518,427.23
  5. Step 5: Solve for x
    x = 518,427.23/740.90
  6. Step 6: Final answer
    x = 699.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.