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Finding the Fourth Proportional to 1,230.82, 1,698.59 and 707.02

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Solution

The fourth proportional to 1,230.82, 1,698.59 and 707.02 is: 975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.82 : 1,698.59 = 707.02 : x
  2. Step 2: Convert to fraction form
    1,230.82/1,698.59 = 707.02/x
  3. Step 3: Cross multiply
    1,230.82x = 1,698.59 × 707.02
  4. Step 4: Simplify right side
    1,230.82x = 1,200,937.10
  5. Step 5: Solve for x
    x = 1,200,937.10/1,230.82
  6. Step 6: Final answer
    x = 975.72

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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.