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Finding the Fourth Proportional to 704.66, 1,054.77 and 601.22

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Solution

The fourth proportional to 704.66, 1,054.77 and 601.22 is: 899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.66 : 1,054.77 = 601.22 : x
  2. Step 2: Convert to fraction form
    704.66/1,054.77 = 601.22/x
  3. Step 3: Cross multiply
    704.66x = 1,054.77 × 601.22
  4. Step 4: Simplify right side
    704.66x = 634,148.82
  5. Step 5: Solve for x
    x = 634,148.82/704.66
  6. Step 6: Final answer
    x = 899.94

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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.