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Finding the Fourth Proportional to 1,188.06, 1,782.09 and 529.77

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Solution

The fourth proportional to 1,188.06, 1,782.09 and 529.77 is: 794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.06 : 1,782.09 = 529.77 : x
  2. Step 2: Convert to fraction form
    1,188.06/1,782.09 = 529.77/x
  3. Step 3: Cross multiply
    1,188.06x = 1,782.09 × 529.77
  4. Step 4: Simplify right side
    1,188.06x = 944,088.72
  5. Step 5: Solve for x
    x = 944,088.72/1,188.06
  6. Step 6: Final answer
    x = 794.65

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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.