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Finding the Fourth Proportional to 970.25, 1,455.83 and 483.35

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Solution

The fourth proportional to 970.25, 1,455.83 and 483.35 is: 725.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.25 : 1,455.83 = 483.35 : x
  2. Step 2: Convert to fraction form
    970.25/1,455.83 = 483.35/x
  3. Step 3: Cross multiply
    970.25x = 1,455.83 × 483.35
  4. Step 4: Simplify right side
    970.25x = 703,665.73
  5. Step 5: Solve for x
    x = 703,665.73/970.25
  6. Step 6: Final answer
    x = 725.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.