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Finding the Fourth Proportional to 530.66, 790.78 and 513.26

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Solution

The fourth proportional to 530.66, 790.78 and 513.26 is: 764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.66 : 790.78 = 513.26 : x
  2. Step 2: Convert to fraction form
    530.66/790.78 = 513.26/x
  3. Step 3: Cross multiply
    530.66x = 790.78 × 513.26
  4. Step 4: Simplify right side
    530.66x = 405,875.74
  5. Step 5: Solve for x
    x = 405,875.74/530.66
  6. Step 6: Final answer
    x = 764.85

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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.