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Finding the Fourth Proportional to 1,206.69, 1,666.54 and 946.68

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Solution

The fourth proportional to 1,206.69, 1,666.54 and 946.68 is: 1,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.69 : 1,666.54 = 946.68 : x
  2. Step 2: Convert to fraction form
    1,206.69/1,666.54 = 946.68/x
  3. Step 3: Cross multiply
    1,206.69x = 1,666.54 × 946.68
  4. Step 4: Simplify right side
    1,206.69x = 1,577,680.09
  5. Step 5: Solve for x
    x = 1,577,680.09/1,206.69
  6. Step 6: Final answer
    x = 1,307.44

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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.