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Finding the Fourth Proportional to 1,356.39, 1,870.82 and 983.99

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Solution

The fourth proportional to 1,356.39, 1,870.82 and 983.99 is: 1,357.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.39 : 1,870.82 = 983.99 : x
  2. Step 2: Convert to fraction form
    1,356.39/1,870.82 = 983.99/x
  3. Step 3: Cross multiply
    1,356.39x = 1,870.82 × 983.99
  4. Step 4: Simplify right side
    1,356.39x = 1,840,868.17
  5. Step 5: Solve for x
    x = 1,840,868.17/1,356.39
  6. Step 6: Final answer
    x = 1,357.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.