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Finding the Fourth Proportional to 783.11, 1,174.26 and 435.93

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Solution

The fourth proportional to 783.11, 1,174.26 and 435.93 is: 653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.11 : 1,174.26 = 435.93 : x
  2. Step 2: Convert to fraction form
    783.11/1,174.26 = 435.93/x
  3. Step 3: Cross multiply
    783.11x = 1,174.26 × 435.93
  4. Step 4: Simplify right side
    783.11x = 511,887.11
  5. Step 5: Solve for x
    x = 511,887.11/783.11
  6. Step 6: Final answer
    x = 653.66

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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.