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Finding the Fourth Proportional to 1,284.74, 1,927.77 and 582.47

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Solution

The fourth proportional to 1,284.74, 1,927.77 and 582.47 is: 874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.74 : 1,927.77 = 582.47 : x
  2. Step 2: Convert to fraction form
    1,284.74/1,927.77 = 582.47/x
  3. Step 3: Cross multiply
    1,284.74x = 1,927.77 × 582.47
  4. Step 4: Simplify right side
    1,284.74x = 1,122,868.19
  5. Step 5: Solve for x
    x = 1,122,868.19/1,284.74
  6. Step 6: Final answer
    x = 874.00

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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.