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Finding the Fourth Proportional to 1,149.96, 1,587.08 and 677.96

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Solution

The fourth proportional to 1,149.96, 1,587.08 and 677.96 is: 935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.96 : 1,587.08 = 677.96 : x
  2. Step 2: Convert to fraction form
    1,149.96/1,587.08 = 677.96/x
  3. Step 3: Cross multiply
    1,149.96x = 1,587.08 × 677.96
  4. Step 4: Simplify right side
    1,149.96x = 1,075,976.76
  5. Step 5: Solve for x
    x = 1,075,976.76/1,149.96
  6. Step 6: Final answer
    x = 935.66

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1.5x scale

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.