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Finding the Fourth Proportional to 1,137.35, 1,569.81 and 689.36

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Solution

The fourth proportional to 1,137.35, 1,569.81 and 689.36 is: 951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.35 : 1,569.81 = 689.36 : x
  2. Step 2: Convert to fraction form
    1,137.35/1,569.81 = 689.36/x
  3. Step 3: Cross multiply
    1,137.35x = 1,569.81 × 689.36
  4. Step 4: Simplify right side
    1,137.35x = 1,082,158.96
  5. Step 5: Solve for x
    x = 1,082,158.96/1,137.35
  6. Step 6: Final answer
    x = 951.47

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1.5x scale

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.