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Finding the Fourth Proportional to 1,230.98, 1,698.90 and 707

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Solution

The fourth proportional to 1,230.98, 1,698.90 and 707 is: 975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.98 : 1,698.90 = 707 : x
  2. Step 2: Convert to fraction form
    1,230.98/1,698.90 = 707/x
  3. Step 3: Cross multiply
    1,230.98x = 1,698.90 × 707
  4. Step 4: Simplify right side
    1,230.98x = 1,201,122.30
  5. Step 5: Solve for x
    x = 1,201,122.30/1,230.98
  6. Step 6: Final answer
    x = 975.74

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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.