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Finding the Fourth Proportional to 1,349.04, 1,861.48 and 759.40

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Solution

The fourth proportional to 1,349.04, 1,861.48 and 759.40 is: 1,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.04 : 1,861.48 = 759.40 : x
  2. Step 2: Convert to fraction form
    1,349.04/1,861.48 = 759.40/x
  3. Step 3: Cross multiply
    1,349.04x = 1,861.48 × 759.40
  4. Step 4: Simplify right side
    1,349.04x = 1,413,607.91
  5. Step 5: Solve for x
    x = 1,413,607.91/1,349.04
  6. Step 6: Final answer
    x = 1,047.86

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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.