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Finding the Fourth Proportional to 1,410.68, 1,946.58 and 821.16

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Solution

The fourth proportional to 1,410.68, 1,946.58 and 821.16 is: 1,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.68 : 1,946.58 = 821.16 : x
  2. Step 2: Convert to fraction form
    1,410.68/1,946.58 = 821.16/x
  3. Step 3: Cross multiply
    1,410.68x = 1,946.58 × 821.16
  4. Step 4: Simplify right side
    1,410.68x = 1,598,453.63
  5. Step 5: Solve for x
    x = 1,598,453.63/1,410.68
  6. Step 6: Final answer
    x = 1,133.11

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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.