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Finding the Fourth Proportional to 1,080.65, 1,490.54 and 749.18

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Solution

The fourth proportional to 1,080.65, 1,490.54 and 749.18 is: 1,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.65 : 1,490.54 = 749.18 : x
  2. Step 2: Convert to fraction form
    1,080.65/1,490.54 = 749.18/x
  3. Step 3: Cross multiply
    1,080.65x = 1,490.54 × 749.18
  4. Step 4: Simplify right side
    1,080.65x = 1,116,682.74
  5. Step 5: Solve for x
    x = 1,116,682.74/1,080.65
  6. Step 6: Final answer
    x = 1,033.34

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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.