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Finding the Fourth Proportional to 973.98, 1,459.62 and 698.85

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Solution

The fourth proportional to 973.98, 1,459.62 and 698.85 is: 1,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.98 : 1,459.62 = 698.85 : x
  2. Step 2: Convert to fraction form
    973.98/1,459.62 = 698.85/x
  3. Step 3: Cross multiply
    973.98x = 1,459.62 × 698.85
  4. Step 4: Simplify right side
    973.98x = 1,020,055.44
  5. Step 5: Solve for x
    x = 1,020,055.44/973.98
  6. Step 6: Final answer
    x = 1,047.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.