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Finding the Fourth Proportional to 1,055.40, 1,456.64 and 613.56

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Solution

The fourth proportional to 1,055.40, 1,456.64 and 613.56 is: 846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.40 : 1,456.64 = 613.56 : x
  2. Step 2: Convert to fraction form
    1,055.40/1,456.64 = 613.56/x
  3. Step 3: Cross multiply
    1,055.40x = 1,456.64 × 613.56
  4. Step 4: Simplify right side
    1,055.40x = 893,734.79
  5. Step 5: Solve for x
    x = 893,734.79/1,055.40
  6. Step 6: Final answer
    x = 846.82

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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.