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Finding the Fourth Proportional to 1,029.84, 1,421.16 and 564.08

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Solution

The fourth proportional to 1,029.84, 1,421.16 and 564.08 is: 778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.84 : 1,421.16 = 564.08 : x
  2. Step 2: Convert to fraction form
    1,029.84/1,421.16 = 564.08/x
  3. Step 3: Cross multiply
    1,029.84x = 1,421.16 × 564.08
  4. Step 4: Simplify right side
    1,029.84x = 801,647.93
  5. Step 5: Solve for x
    x = 801,647.93/1,029.84
  6. Step 6: Final answer
    x = 778.42

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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.