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Finding the Fourth Proportional to 1,074.89, 1,483.64 and 632.93

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Solution

The fourth proportional to 1,074.89, 1,483.64 and 632.93 is: 873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.89 : 1,483.64 = 632.93 : x
  2. Step 2: Convert to fraction form
    1,074.89/1,483.64 = 632.93/x
  3. Step 3: Cross multiply
    1,074.89x = 1,483.64 × 632.93
  4. Step 4: Simplify right side
    1,074.89x = 939,029.68
  5. Step 5: Solve for x
    x = 939,029.68/1,074.89
  6. Step 6: Final answer
    x = 873.61

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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.