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Finding the Fourth Proportional to 1,029.35, 1,420.22 and 587.16

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Solution

The fourth proportional to 1,029.35, 1,420.22 and 587.16 is: 810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.35 : 1,420.22 = 587.16 : x
  2. Step 2: Convert to fraction form
    1,029.35/1,420.22 = 587.16/x
  3. Step 3: Cross multiply
    1,029.35x = 1,420.22 × 587.16
  4. Step 4: Simplify right side
    1,029.35x = 833,897.84
  5. Step 5: Solve for x
    x = 833,897.84/1,029.35
  6. Step 6: Final answer
    x = 810.12

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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.