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Finding the Fourth Proportional to 1,146.94, 1,582.81 and 623.00

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Solution

The fourth proportional to 1,146.94, 1,582.81 and 623.00 is: 859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.94 : 1,582.81 = 623.00 : x
  2. Step 2: Convert to fraction form
    1,146.94/1,582.81 = 623.00/x
  3. Step 3: Cross multiply
    1,146.94x = 1,582.81 × 623.00
  4. Step 4: Simplify right side
    1,146.94x = 986,093.03
  5. Step 5: Solve for x
    x = 986,093.03/1,146.94
  6. Step 6: Final answer
    x = 859.76

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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.