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Finding the Fourth Proportional to 1,007.83, 1,510.07 and 713.88

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Solution

The fourth proportional to 1,007.83, 1,510.07 and 713.88 is: 1,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.83 : 1,510.07 = 713.88 : x
  2. Step 2: Convert to fraction form
    1,007.83/1,510.07 = 713.88/x
  3. Step 3: Cross multiply
    1,007.83x = 1,510.07 × 713.88
  4. Step 4: Simplify right side
    1,007.83x = 1,078,008.77
  5. Step 5: Solve for x
    x = 1,078,008.77/1,007.83
  6. Step 6: Final answer
    x = 1,069.63

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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.