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Finding the Fourth Proportional to 1,298.81, 1,946.39 and 566.86

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Solution

The fourth proportional to 1,298.81, 1,946.39 and 566.86 is: 849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.81 : 1,946.39 = 566.86 : x
  2. Step 2: Convert to fraction form
    1,298.81/1,946.39 = 566.86/x
  3. Step 3: Cross multiply
    1,298.81x = 1,946.39 × 566.86
  4. Step 4: Simplify right side
    1,298.81x = 1,103,330.64
  5. Step 5: Solve for x
    x = 1,103,330.64/1,298.81
  6. Step 6: Final answer
    x = 849.49

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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.