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Finding the Fourth Proportional to 1,151.62, 1,718.92 and 1,070.35

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Solution

The fourth proportional to 1,151.62, 1,718.92 and 1,070.35 is: 1,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.62 : 1,718.92 = 1,070.35 : x
  2. Step 2: Convert to fraction form
    1,151.62/1,718.92 = 1,070.35/x
  3. Step 3: Cross multiply
    1,151.62x = 1,718.92 × 1,070.35
  4. Step 4: Simplify right side
    1,151.62x = 1,839,843.06
  5. Step 5: Solve for x
    x = 1,839,843.06/1,151.62
  6. Step 6: Final answer
    x = 1,597.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.