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Finding the Fourth Proportional to 1,140.64, 1,705.84 and 677.12

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Solution

The fourth proportional to 1,140.64, 1,705.84 and 677.12 is: 1,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.64 : 1,705.84 = 677.12 : x
  2. Step 2: Convert to fraction form
    1,140.64/1,705.84 = 677.12/x
  3. Step 3: Cross multiply
    1,140.64x = 1,705.84 × 677.12
  4. Step 4: Simplify right side
    1,140.64x = 1,155,058.38
  5. Step 5: Solve for x
    x = 1,155,058.38/1,140.64
  6. Step 6: Final answer
    x = 1,012.64

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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.