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Finding the Fourth Proportional to 1,308.02, 1,805.04 and 748.58

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Solution

The fourth proportional to 1,308.02, 1,805.04 and 748.58 is: 1,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.02 : 1,805.04 = 748.58 : x
  2. Step 2: Convert to fraction form
    1,308.02/1,805.04 = 748.58/x
  3. Step 3: Cross multiply
    1,308.02x = 1,805.04 × 748.58
  4. Step 4: Simplify right side
    1,308.02x = 1,351,207.82
  5. Step 5: Solve for x
    x = 1,351,207.82/1,308.02
  6. Step 6: Final answer
    x = 1,033.02

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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.