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Finding the Fourth Proportional to 530.98, 790.20 and 511.54

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Solution

The fourth proportional to 530.98, 790.20 and 511.54 is: 761.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.98 : 790.20 = 511.54 : x
  2. Step 2: Convert to fraction form
    530.98/790.20 = 511.54/x
  3. Step 3: Cross multiply
    530.98x = 790.20 × 511.54
  4. Step 4: Simplify right side
    530.98x = 404,218.91
  5. Step 5: Solve for x
    x = 404,218.91/530.98
  6. Step 6: Final answer
    x = 761.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.