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Finding the Fourth Proportional to 1,030.94, 1,546.84 and 544.30

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Solution

The fourth proportional to 1,030.94, 1,546.84 and 544.30 is: 816.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.94 : 1,546.84 = 544.30 : x
  2. Step 2: Convert to fraction form
    1,030.94/1,546.84 = 544.30/x
  3. Step 3: Cross multiply
    1,030.94x = 1,546.84 × 544.30
  4. Step 4: Simplify right side
    1,030.94x = 841,945.01
  5. Step 5: Solve for x
    x = 841,945.01/1,030.94
  6. Step 6: Final answer
    x = 816.68

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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.