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Finding the Fourth Proportional to 1,284.04, 1,922.43 and 977.14

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Solution

The fourth proportional to 1,284.04, 1,922.43 and 977.14 is: 1,462.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.04 : 1,922.43 = 977.14 : x
  2. Step 2: Convert to fraction form
    1,284.04/1,922.43 = 977.14/x
  3. Step 3: Cross multiply
    1,284.04x = 1,922.43 × 977.14
  4. Step 4: Simplify right side
    1,284.04x = 1,878,483.25
  5. Step 5: Solve for x
    x = 1,878,483.25/1,284.04
  6. Step 6: Final answer
    x = 1,462.95

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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.