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Finding the Fourth Proportional to 1,535.01, 2,303.46 and 669.12

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Solution

The fourth proportional to 1,535.01, 2,303.46 and 669.12 is: 1,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.01 : 2,303.46 = 669.12 : x
  2. Step 2: Convert to fraction form
    1,535.01/2,303.46 = 669.12/x
  3. Step 3: Cross multiply
    1,535.01x = 2,303.46 × 669.12
  4. Step 4: Simplify right side
    1,535.01x = 1,541,291.16
  5. Step 5: Solve for x
    x = 1,541,291.16/1,535.01
  6. Step 6: Final answer
    x = 1,004.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.