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Finding the Fourth Proportional to 1,233.53, 1,702.67 and 835.77

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Solution

The fourth proportional to 1,233.53, 1,702.67 and 835.77 is: 1,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.53 : 1,702.67 = 835.77 : x
  2. Step 2: Convert to fraction form
    1,233.53/1,702.67 = 835.77/x
  3. Step 3: Cross multiply
    1,233.53x = 1,702.67 × 835.77
  4. Step 4: Simplify right side
    1,233.53x = 1,423,037.84
  5. Step 5: Solve for x
    x = 1,423,037.84/1,233.53
  6. Step 6: Final answer
    x = 1,153.63

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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.