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Finding the Fourth Proportional to 1,197.65, 1,653.14 and 700.31

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Solution

The fourth proportional to 1,197.65, 1,653.14 and 700.31 is: 966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.65 : 1,653.14 = 700.31 : x
  2. Step 2: Convert to fraction form
    1,197.65/1,653.14 = 700.31/x
  3. Step 3: Cross multiply
    1,197.65x = 1,653.14 × 700.31
  4. Step 4: Simplify right side
    1,197.65x = 1,157,710.47
  5. Step 5: Solve for x
    x = 1,157,710.47/1,197.65
  6. Step 6: Final answer
    x = 966.65

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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.