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Finding the Fourth Proportional to 1,228.98, 1,696.04 and 705.11

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Solution

The fourth proportional to 1,228.98, 1,696.04 and 705.11 is: 973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.98 : 1,696.04 = 705.11 : x
  2. Step 2: Convert to fraction form
    1,228.98/1,696.04 = 705.11/x
  3. Step 3: Cross multiply
    1,228.98x = 1,696.04 × 705.11
  4. Step 4: Simplify right side
    1,228.98x = 1,195,894.76
  5. Step 5: Solve for x
    x = 1,195,894.76/1,228.98
  6. Step 6: Final answer
    x = 973.08

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