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Finding the Fourth Proportional to 690.70, 1,037.66 and 637.24

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Solution

The fourth proportional to 690.70, 1,037.66 and 637.24 is: 957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.70 : 1,037.66 = 637.24 : x
  2. Step 2: Convert to fraction form
    690.70/1,037.66 = 637.24/x
  3. Step 3: Cross multiply
    690.70x = 1,037.66 × 637.24
  4. Step 4: Simplify right side
    690.70x = 661,238.46
  5. Step 5: Solve for x
    x = 661,238.46/690.70
  6. Step 6: Final answer
    x = 957.35

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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.