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Finding the Fourth Proportional to 1,300.63, 1,951.76 and 753.07

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Solution

The fourth proportional to 1,300.63, 1,951.76 and 753.07 is: 1,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.63 : 1,951.76 = 753.07 : x
  2. Step 2: Convert to fraction form
    1,300.63/1,951.76 = 753.07/x
  3. Step 3: Cross multiply
    1,300.63x = 1,951.76 × 753.07
  4. Step 4: Simplify right side
    1,300.63x = 1,469,811.90
  5. Step 5: Solve for x
    x = 1,469,811.90/1,300.63
  6. Step 6: Final answer
    x = 1,130.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.