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Finding the Fourth Proportional to 1,056.36, 1,457.47 and 683.35

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Solution

The fourth proportional to 1,056.36, 1,457.47 and 683.35 is: 942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.36 : 1,457.47 = 683.35 : x
  2. Step 2: Convert to fraction form
    1,056.36/1,457.47 = 683.35/x
  3. Step 3: Cross multiply
    1,056.36x = 1,457.47 × 683.35
  4. Step 4: Simplify right side
    1,056.36x = 995,962.12
  5. Step 5: Solve for x
    x = 995,962.12/1,056.36
  6. Step 6: Final answer
    x = 942.82

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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.