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Finding the Fourth Proportional to 1,230.42, 1,697.91 and 706.56

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Solution

The fourth proportional to 1,230.42, 1,697.91 and 706.56 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.42 : 1,697.91 = 706.56 : x
  2. Step 2: Convert to fraction form
    1,230.42/1,697.91 = 706.56/x
  3. Step 3: Cross multiply
    1,230.42x = 1,697.91 × 706.56
  4. Step 4: Simplify right side
    1,230.42x = 1,199,675.29
  5. Step 5: Solve for x
    x = 1,199,675.29/1,230.42
  6. Step 6: Final answer
    x = 975.01

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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.