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Finding the Fourth Proportional to 1,056.63, 1,457.34 and 701.91

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Solution

The fourth proportional to 1,056.63, 1,457.34 and 701.91 is: 968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.63 : 1,457.34 = 701.91 : x
  2. Step 2: Convert to fraction form
    1,056.63/1,457.34 = 701.91/x
  3. Step 3: Cross multiply
    1,056.63x = 1,457.34 × 701.91
  4. Step 4: Simplify right side
    1,056.63x = 1,022,921.52
  5. Step 5: Solve for x
    x = 1,022,921.52/1,056.63
  6. Step 6: Final answer
    x = 968.10

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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.