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Finding the Fourth Proportional to 1,095.69, 1,512.08 and 623.55

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Solution

The fourth proportional to 1,095.69, 1,512.08 and 623.55 is: 860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.69 : 1,512.08 = 623.55 : x
  2. Step 2: Convert to fraction form
    1,095.69/1,512.08 = 623.55/x
  3. Step 3: Cross multiply
    1,095.69x = 1,512.08 × 623.55
  4. Step 4: Simplify right side
    1,095.69x = 942,854.37
  5. Step 5: Solve for x
    x = 942,854.37/1,095.69
  6. Step 6: Final answer
    x = 860.51

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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.