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Finding the Fourth Proportional to 1,300.48, 1,951.45 and 520.54

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Solution

The fourth proportional to 1,300.48, 1,951.45 and 520.54 is: 781.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.48 : 1,951.45 = 520.54 : x
  2. Step 2: Convert to fraction form
    1,300.48/1,951.45 = 520.54/x
  3. Step 3: Cross multiply
    1,300.48x = 1,951.45 × 520.54
  4. Step 4: Simplify right side
    1,300.48x = 1,015,805.81
  5. Step 5: Solve for x
    x = 1,015,805.81/1,300.48
  6. Step 6: Final answer
    x = 781.10

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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.