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Finding the Fourth Proportional to 830.67, 1,146.44 and 805.17

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Solution

The fourth proportional to 830.67, 1,146.44 and 805.17 is: 1,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,146.44 = 805.17 : x
  2. Step 2: Convert to fraction form
    830.67/1,146.44 = 805.17/x
  3. Step 3: Cross multiply
    830.67x = 1,146.44 × 805.17
  4. Step 4: Simplify right side
    830.67x = 923,075.07
  5. Step 5: Solve for x
    x = 923,075.07/830.67
  6. Step 6: Final answer
    x = 1,111.24

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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.