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Finding the Fourth Proportional to 1,165.26, 1,748.61 and 856.35

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Solution

The fourth proportional to 1,165.26, 1,748.61 and 856.35 is: 1,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.26 : 1,748.61 = 856.35 : x
  2. Step 2: Convert to fraction form
    1,165.26/1,748.61 = 856.35/x
  3. Step 3: Cross multiply
    1,165.26x = 1,748.61 × 856.35
  4. Step 4: Simplify right side
    1,165.26x = 1,497,422.17
  5. Step 5: Solve for x
    x = 1,497,422.17/1,165.26
  6. Step 6: Final answer
    x = 1,285.05

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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.