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Finding the Fourth Proportional to 985.34, 1,470.70 and 969.14

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Solution

The fourth proportional to 985.34, 1,470.70 and 969.14 is: 1,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.34 : 1,470.70 = 969.14 : x
  2. Step 2: Convert to fraction form
    985.34/1,470.70 = 969.14/x
  3. Step 3: Cross multiply
    985.34x = 1,470.70 × 969.14
  4. Step 4: Simplify right side
    985.34x = 1,425,314.20
  5. Step 5: Solve for x
    x = 1,425,314.20/985.34
  6. Step 6: Final answer
    x = 1,446.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.