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Finding the Fourth Proportional to 1,300.81, 1,950.13 and 569.84

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Solution

The fourth proportional to 1,300.81, 1,950.13 and 569.84 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.81 : 1,950.13 = 569.84 : x
  2. Step 2: Convert to fraction form
    1,300.81/1,950.13 = 569.84/x
  3. Step 3: Cross multiply
    1,300.81x = 1,950.13 × 569.84
  4. Step 4: Simplify right side
    1,300.81x = 1,111,249.84
  5. Step 5: Solve for x
    x = 1,111,249.84/1,300.81
  6. Step 6: Final answer
    x = 854.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.