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Finding the Fourth Proportional to 590.02, 880.75 and 513.54

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Solution

The fourth proportional to 590.02, 880.75 and 513.54 is: 766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.02 : 880.75 = 513.54 : x
  2. Step 2: Convert to fraction form
    590.02/880.75 = 513.54/x
  3. Step 3: Cross multiply
    590.02x = 880.75 × 513.54
  4. Step 4: Simplify right side
    590.02x = 452,297.79
  5. Step 5: Solve for x
    x = 452,297.79/590.02
  6. Step 6: Final answer
    x = 766.58

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Why These Related Problems?

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