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Finding the Fourth Proportional to 1,055.10, 1,455.81 and 612.77

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Solution

The fourth proportional to 1,055.10, 1,455.81 and 612.77 is: 845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.10 : 1,455.81 = 612.77 : x
  2. Step 2: Convert to fraction form
    1,055.10/1,455.81 = 612.77/x
  3. Step 3: Cross multiply
    1,055.10x = 1,455.81 × 612.77
  4. Step 4: Simplify right side
    1,055.10x = 892,081.87
  5. Step 5: Solve for x
    x = 892,081.87/1,055.10
  6. Step 6: Final answer
    x = 845.50

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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.