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Finding the Fourth Proportional to 1,064.13, 1,603.82 and 1,004.59

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Solution

The fourth proportional to 1,064.13, 1,603.82 and 1,004.59 is: 1,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.13 : 1,603.82 = 1,004.59 : x
  2. Step 2: Convert to fraction form
    1,064.13/1,603.82 = 1,004.59/x
  3. Step 3: Cross multiply
    1,064.13x = 1,603.82 × 1,004.59
  4. Step 4: Simplify right side
    1,064.13x = 1,611,181.53
  5. Step 5: Solve for x
    x = 1,611,181.53/1,064.13
  6. Step 6: Final answer
    x = 1,514.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.