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Finding the Fourth Proportional to 893.51, 1,232.45 and 561.65

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Solution

The fourth proportional to 893.51, 1,232.45 and 561.65 is: 774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.51 : 1,232.45 = 561.65 : x
  2. Step 2: Convert to fraction form
    893.51/1,232.45 = 561.65/x
  3. Step 3: Cross multiply
    893.51x = 1,232.45 × 561.65
  4. Step 4: Simplify right side
    893.51x = 692,196.57
  5. Step 5: Solve for x
    x = 692,196.57/893.51
  6. Step 6: Final answer
    x = 774.70

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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.