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Finding the Fourth Proportional to 1,054.93, 1,582.37 and 469.77

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Solution

The fourth proportional to 1,054.93, 1,582.37 and 469.77 is: 704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.93 : 1,582.37 = 469.77 : x
  2. Step 2: Convert to fraction form
    1,054.93/1,582.37 = 469.77/x
  3. Step 3: Cross multiply
    1,054.93x = 1,582.37 × 469.77
  4. Step 4: Simplify right side
    1,054.93x = 743,349.95
  5. Step 5: Solve for x
    x = 743,349.95/1,054.93
  6. Step 6: Final answer
    x = 704.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.