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Finding the Fourth Proportional to 977.67, 1,348.14 and 645.66

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Solution

The fourth proportional to 977.67, 1,348.14 and 645.66 is: 890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,348.14 = 645.66 : x
  2. Step 2: Convert to fraction form
    977.67/1,348.14 = 645.66/x
  3. Step 3: Cross multiply
    977.67x = 1,348.14 × 645.66
  4. Step 4: Simplify right side
    977.67x = 870,440.07
  5. Step 5: Solve for x
    x = 870,440.07/977.67
  6. Step 6: Final answer
    x = 890.32

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Double scale
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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.