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Finding the Fourth Proportional to 1,178.70, 1,626.49 and 647.49

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Solution

The fourth proportional to 1,178.70, 1,626.49 and 647.49 is: 893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.70 : 1,626.49 = 647.49 : x
  2. Step 2: Convert to fraction form
    1,178.70/1,626.49 = 647.49/x
  3. Step 3: Cross multiply
    1,178.70x = 1,626.49 × 647.49
  4. Step 4: Simplify right side
    1,178.70x = 1,053,136.01
  5. Step 5: Solve for x
    x = 1,053,136.01/1,178.70
  6. Step 6: Final answer
    x = 893.47

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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.