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Finding the Fourth Proportional to 1,401.65, 2,101.44 and 707.99

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Solution

The fourth proportional to 1,401.65, 2,101.44 and 707.99 is: 1,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.65 : 2,101.44 = 707.99 : x
  2. Step 2: Convert to fraction form
    1,401.65/2,101.44 = 707.99/x
  3. Step 3: Cross multiply
    1,401.65x = 2,101.44 × 707.99
  4. Step 4: Simplify right side
    1,401.65x = 1,487,798.51
  5. Step 5: Solve for x
    x = 1,487,798.51/1,401.65
  6. Step 6: Final answer
    x = 1,061.47

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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.