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Finding the Fourth Proportional to 707.77, 1,060.83 and 460.63

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Solution

The fourth proportional to 707.77, 1,060.83 and 460.63 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.77 : 1,060.83 = 460.63 : x
  2. Step 2: Convert to fraction form
    707.77/1,060.83 = 460.63/x
  3. Step 3: Cross multiply
    707.77x = 1,060.83 × 460.63
  4. Step 4: Simplify right side
    707.77x = 488,650.12
  5. Step 5: Solve for x
    x = 488,650.12/707.77
  6. Step 6: Final answer
    x = 690.41

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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.