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Finding the Fourth Proportional to 1,074.95, 1,483.70 and 632.99

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Solution

The fourth proportional to 1,074.95, 1,483.70 and 632.99 is: 873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.95 : 1,483.70 = 632.99 : x
  2. Step 2: Convert to fraction form
    1,074.95/1,483.70 = 632.99/x
  3. Step 3: Cross multiply
    1,074.95x = 1,483.70 × 632.99
  4. Step 4: Simplify right side
    1,074.95x = 939,156.68
  5. Step 5: Solve for x
    x = 939,156.68/1,074.95
  6. Step 6: Final answer
    x = 873.68

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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.