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Finding the Fourth Proportional to 1,404.47, 2,106.69 and 430.56

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Solution

The fourth proportional to 1,404.47, 2,106.69 and 430.56 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.47 : 2,106.69 = 430.56 : x
  2. Step 2: Convert to fraction form
    1,404.47/2,106.69 = 430.56/x
  3. Step 3: Cross multiply
    1,404.47x = 2,106.69 × 430.56
  4. Step 4: Simplify right side
    1,404.47x = 907,056.45
  5. Step 5: Solve for x
    x = 907,056.45/1,404.47
  6. Step 6: Final answer
    x = 645.84

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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.