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Finding the Fourth Proportional to 1,055.50, 1,457.04 and 701.60

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Solution

The fourth proportional to 1,055.50, 1,457.04 and 701.60 is: 968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.50 : 1,457.04 = 701.60 : x
  2. Step 2: Convert to fraction form
    1,055.50/1,457.04 = 701.60/x
  3. Step 3: Cross multiply
    1,055.50x = 1,457.04 × 701.60
  4. Step 4: Simplify right side
    1,055.50x = 1,022,259.26
  5. Step 5: Solve for x
    x = 1,022,259.26/1,055.50
  6. Step 6: Final answer
    x = 968.51

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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.