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Finding the Fourth Proportional to 1,054.77, 1,455.60 and 582.67

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Solution

The fourth proportional to 1,054.77, 1,455.60 and 582.67 is: 804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.77 : 1,455.60 = 582.67 : x
  2. Step 2: Convert to fraction form
    1,054.77/1,455.60 = 582.67/x
  3. Step 3: Cross multiply
    1,054.77x = 1,455.60 × 582.67
  4. Step 4: Simplify right side
    1,054.77x = 848,124.26
  5. Step 5: Solve for x
    x = 848,124.26/1,054.77
  6. Step 6: Final answer
    x = 804.08

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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.