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Finding the Fourth Proportional to 1,005.30, 1,510.25 and 713.52

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Solution

The fourth proportional to 1,005.30, 1,510.25 and 713.52 is: 1,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.30 : 1,510.25 = 713.52 : x
  2. Step 2: Convert to fraction form
    1,005.30/1,510.25 = 713.52/x
  3. Step 3: Cross multiply
    1,005.30x = 1,510.25 × 713.52
  4. Step 4: Simplify right side
    1,005.30x = 1,077,586.03
  5. Step 5: Solve for x
    x = 1,077,586.03/1,005.30
  6. Step 6: Final answer
    x = 1,071.91

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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.