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Finding the Fourth Proportional to 1,055.66, 1,457.30 and 613.48

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Solution

The fourth proportional to 1,055.66, 1,457.30 and 613.48 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.66 : 1,457.30 = 613.48 : x
  2. Step 2: Convert to fraction form
    1,055.66/1,457.30 = 613.48/x
  3. Step 3: Cross multiply
    1,055.66x = 1,457.30 × 613.48
  4. Step 4: Simplify right side
    1,055.66x = 894,024.40
  5. Step 5: Solve for x
    x = 894,024.40/1,055.66
  6. Step 6: Final answer
    x = 846.89

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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.