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Finding the Fourth Proportional to 835.40, 1,152.63 and 569.36

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Solution

The fourth proportional to 835.40, 1,152.63 and 569.36 is: 785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.40 : 1,152.63 = 569.36 : x
  2. Step 2: Convert to fraction form
    835.40/1,152.63 = 569.36/x
  3. Step 3: Cross multiply
    835.40x = 1,152.63 × 569.36
  4. Step 4: Simplify right side
    835.40x = 656,264.30
  5. Step 5: Solve for x
    x = 656,264.30/835.40
  6. Step 6: Final answer
    x = 785.57

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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.