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Finding the Fourth Proportional to 1,351.38, 1,865.76 and 977.78

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Solution

The fourth proportional to 1,351.38, 1,865.76 and 977.78 is: 1,349.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.38 : 1,865.76 = 977.78 : x
  2. Step 2: Convert to fraction form
    1,351.38/1,865.76 = 977.78/x
  3. Step 3: Cross multiply
    1,351.38x = 1,865.76 × 977.78
  4. Step 4: Simplify right side
    1,351.38x = 1,824,302.81
  5. Step 5: Solve for x
    x = 1,824,302.81/1,351.38
  6. Step 6: Final answer
    x = 1,349.96

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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.