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Finding the Fourth Proportional to 1,056.07, 1,457.08 and 683.07

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Solution

The fourth proportional to 1,056.07, 1,457.08 and 683.07 is: 942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.07 : 1,457.08 = 683.07 : x
  2. Step 2: Convert to fraction form
    1,056.07/1,457.08 = 683.07/x
  3. Step 3: Cross multiply
    1,056.07x = 1,457.08 × 683.07
  4. Step 4: Simplify right side
    1,056.07x = 995,287.64
  5. Step 5: Solve for x
    x = 995,287.64/1,056.07
  6. Step 6: Final answer
    x = 942.44

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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.