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Finding the Fourth Proportional to 1,511.63, 2,264.88 and 732.00

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Solution

The fourth proportional to 1,511.63, 2,264.88 and 732.00 is: 1,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.63 : 2,264.88 = 732.00 : x
  2. Step 2: Convert to fraction form
    1,511.63/2,264.88 = 732.00/x
  3. Step 3: Cross multiply
    1,511.63x = 2,264.88 × 732.00
  4. Step 4: Simplify right side
    1,511.63x = 1,657,903.40
  5. Step 5: Solve for x
    x = 1,657,903.40/1,511.63
  6. Step 6: Final answer
    x = 1,096.77

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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.