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Finding the Fourth Proportional to 1,064.63, 1,469.19 and 598.88

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Solution

The fourth proportional to 1,064.63, 1,469.19 and 598.88 is: 826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.63 : 1,469.19 = 598.88 : x
  2. Step 2: Convert to fraction form
    1,064.63/1,469.19 = 598.88/x
  3. Step 3: Cross multiply
    1,064.63x = 1,469.19 × 598.88
  4. Step 4: Simplify right side
    1,064.63x = 879,861.16
  5. Step 5: Solve for x
    x = 879,861.16/1,064.63
  6. Step 6: Final answer
    x = 826.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.