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Finding the Fourth Proportional to 1,054.41, 1,455.08 and 612.59

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Solution

The fourth proportional to 1,054.41, 1,455.08 and 612.59 is: 845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.41 : 1,455.08 = 612.59 : x
  2. Step 2: Convert to fraction form
    1,054.41/1,455.08 = 612.59/x
  3. Step 3: Cross multiply
    1,054.41x = 1,455.08 × 612.59
  4. Step 4: Simplify right side
    1,054.41x = 891,357.12
  5. Step 5: Solve for x
    x = 891,357.12/1,054.41
  6. Step 6: Final answer
    x = 845.36

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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.