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Finding the Fourth Proportional to 1,205.97, 1,808.69 and 340.35

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Solution

The fourth proportional to 1,205.97, 1,808.69 and 340.35 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.97 : 1,808.69 = 340.35 : x
  2. Step 2: Convert to fraction form
    1,205.97/1,808.69 = 340.35/x
  3. Step 3: Cross multiply
    1,205.97x = 1,808.69 × 340.35
  4. Step 4: Simplify right side
    1,205.97x = 615,585.94
  5. Step 5: Solve for x
    x = 615,585.94/1,205.97
  6. Step 6: Final answer
    x = 510.45

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1.5x scale

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.