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Finding the Fourth Proportional to 1,146.29, 1,582.74 and 810.95

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Solution

The fourth proportional to 1,146.29, 1,582.74 and 810.95 is: 1,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.29 : 1,582.74 = 810.95 : x
  2. Step 2: Convert to fraction form
    1,146.29/1,582.74 = 810.95/x
  3. Step 3: Cross multiply
    1,146.29x = 1,582.74 × 810.95
  4. Step 4: Simplify right side
    1,146.29x = 1,283,515.09
  5. Step 5: Solve for x
    x = 1,283,515.09/1,146.29
  6. Step 6: Final answer
    x = 1,119.72

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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.