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Finding the Fourth Proportional to 1,133.55, 1,698.30 and 971.55

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Solution

The fourth proportional to 1,133.55, 1,698.30 and 971.55 is: 1,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.55 : 1,698.30 = 971.55 : x
  2. Step 2: Convert to fraction form
    1,133.55/1,698.30 = 971.55/x
  3. Step 3: Cross multiply
    1,133.55x = 1,698.30 × 971.55
  4. Step 4: Simplify right side
    1,133.55x = 1,649,983.37
  5. Step 5: Solve for x
    x = 1,649,983.37/1,133.55
  6. Step 6: Final answer
    x = 1,455.59

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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.