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Finding the Fourth Proportional to 1,056.21, 1,457.37 and 683.66

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Solution

The fourth proportional to 1,056.21, 1,457.37 and 683.66 is: 943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.21 : 1,457.37 = 683.66 : x
  2. Step 2: Convert to fraction form
    1,056.21/1,457.37 = 683.66/x
  3. Step 3: Cross multiply
    1,056.21x = 1,457.37 × 683.66
  4. Step 4: Simplify right side
    1,056.21x = 996,345.57
  5. Step 5: Solve for x
    x = 996,345.57/1,056.21
  6. Step 6: Final answer
    x = 943.32

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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.