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Finding the Fourth Proportional to 1,036.02, 1,428.84 and 757.20

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Solution

The fourth proportional to 1,036.02, 1,428.84 and 757.20 is: 1,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.02 : 1,428.84 = 757.20 : x
  2. Step 2: Convert to fraction form
    1,036.02/1,428.84 = 757.20/x
  3. Step 3: Cross multiply
    1,036.02x = 1,428.84 × 757.20
  4. Step 4: Simplify right side
    1,036.02x = 1,081,917.65
  5. Step 5: Solve for x
    x = 1,081,917.65/1,036.02
  6. Step 6: Final answer
    x = 1,044.30

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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.