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Finding the Fourth Proportional to 1,005.13, 1,510.01 and 709.33

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Solution

The fourth proportional to 1,005.13, 1,510.01 and 709.33 is: 1,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.13 : 1,510.01 = 709.33 : x
  2. Step 2: Convert to fraction form
    1,005.13/1,510.01 = 709.33/x
  3. Step 3: Cross multiply
    1,005.13x = 1,510.01 × 709.33
  4. Step 4: Simplify right side
    1,005.13x = 1,071,088.73
  5. Step 5: Solve for x
    x = 1,071,088.73/1,005.13
  6. Step 6: Final answer
    x = 1,065.62

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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.