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Finding the Fourth Proportional to 940.69, 1,409.82 and 570.52

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Solution

The fourth proportional to 940.69, 1,409.82 and 570.52 is: 855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.69 : 1,409.82 = 570.52 : x
  2. Step 2: Convert to fraction form
    940.69/1,409.82 = 570.52/x
  3. Step 3: Cross multiply
    940.69x = 1,409.82 × 570.52
  4. Step 4: Simplify right side
    940.69x = 804,330.51
  5. Step 5: Solve for x
    x = 804,330.51/940.69
  6. Step 6: Final answer
    x = 855.04

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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.