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Finding the Fourth Proportional to 1,410.70, 1,946.93 and 821.24

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Solution

The fourth proportional to 1,410.70, 1,946.93 and 821.24 is: 1,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.70 : 1,946.93 = 821.24 : x
  2. Step 2: Convert to fraction form
    1,410.70/1,946.93 = 821.24/x
  3. Step 3: Cross multiply
    1,410.70x = 1,946.93 × 821.24
  4. Step 4: Simplify right side
    1,410.70x = 1,598,887.06
  5. Step 5: Solve for x
    x = 1,598,887.06/1,410.70
  6. Step 6: Final answer
    x = 1,133.40

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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.