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Finding the Fourth Proportional to 1,064.61, 1,469.14 and 598.86

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Solution

The fourth proportional to 1,064.61, 1,469.14 and 598.86 is: 826.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.61 : 1,469.14 = 598.86 : x
  2. Step 2: Convert to fraction form
    1,064.61/1,469.14 = 598.86/x
  3. Step 3: Cross multiply
    1,064.61x = 1,469.14 × 598.86
  4. Step 4: Simplify right side
    1,064.61x = 879,809.18
  5. Step 5: Solve for x
    x = 879,809.18/1,064.61
  6. Step 6: Final answer
    x = 826.41

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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.