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Finding the Fourth Proportional to 1,060.77, 1,590.06 and 511.98

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Solution

The fourth proportional to 1,060.77, 1,590.06 and 511.98 is: 767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.77 : 1,590.06 = 511.98 : x
  2. Step 2: Convert to fraction form
    1,060.77/1,590.06 = 511.98/x
  3. Step 3: Cross multiply
    1,060.77x = 1,590.06 × 511.98
  4. Step 4: Simplify right side
    1,060.77x = 814,078.92
  5. Step 5: Solve for x
    x = 814,078.92/1,060.77
  6. Step 6: Final answer
    x = 767.44

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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.