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Finding the Fourth Proportional to 1,134.55, 1,566.30 and 835.55

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Solution

The fourth proportional to 1,134.55, 1,566.30 and 835.55 is: 1,153.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.55 : 1,566.30 = 835.55 : x
  2. Step 2: Convert to fraction form
    1,134.55/1,566.30 = 835.55/x
  3. Step 3: Cross multiply
    1,134.55x = 1,566.30 × 835.55
  4. Step 4: Simplify right side
    1,134.55x = 1,308,723.14
  5. Step 5: Solve for x
    x = 1,308,723.14/1,134.55
  6. Step 6: Final answer
    x = 1,153.52

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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.