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Finding the Fourth Proportional to 530.64, 797.58 and 519.30

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Solution

The fourth proportional to 530.64, 797.58 and 519.30 is: 780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.64 : 797.58 = 519.30 : x
  2. Step 2: Convert to fraction form
    530.64/797.58 = 519.30/x
  3. Step 3: Cross multiply
    530.64x = 797.58 × 519.30
  4. Step 4: Simplify right side
    530.64x = 414,183.29
  5. Step 5: Solve for x
    x = 414,183.29/530.64
  6. Step 6: Final answer
    x = 780.54

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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.