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Finding the Fourth Proportional to 916.93, 1,371.30 and 753.31

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Solution

The fourth proportional to 916.93, 1,371.30 and 753.31 is: 1,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.93 : 1,371.30 = 753.31 : x
  2. Step 2: Convert to fraction form
    916.93/1,371.30 = 753.31/x
  3. Step 3: Cross multiply
    916.93x = 1,371.30 × 753.31
  4. Step 4: Simplify right side
    916.93x = 1,033,014.00
  5. Step 5: Solve for x
    x = 1,033,014.00/916.93
  6. Step 6: Final answer
    x = 1,126.60

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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.