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Finding the Fourth Proportional to 1,428.70, 1,970.94 and 931.78

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Solution

The fourth proportional to 1,428.70, 1,970.94 and 931.78 is: 1,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.70 : 1,970.94 = 931.78 : x
  2. Step 2: Convert to fraction form
    1,428.70/1,970.94 = 931.78/x
  3. Step 3: Cross multiply
    1,428.70x = 1,970.94 × 931.78
  4. Step 4: Simplify right side
    1,428.70x = 1,836,482.47
  5. Step 5: Solve for x
    x = 1,836,482.47/1,428.70
  6. Step 6: Final answer
    x = 1,285.42

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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.