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Finding the Fourth Proportional to 1,080.02, 1,620.24 and 430.76

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Solution

The fourth proportional to 1,080.02, 1,620.24 and 430.76 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.02 : 1,620.24 = 430.76 : x
  2. Step 2: Convert to fraction form
    1,080.02/1,620.24 = 430.76/x
  3. Step 3: Cross multiply
    1,080.02x = 1,620.24 × 430.76
  4. Step 4: Simplify right side
    1,080.02x = 697,934.58
  5. Step 5: Solve for x
    x = 697,934.58/1,080.02
  6. Step 6: Final answer
    x = 646.22

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Double scale
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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.