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Finding the Fourth Proportional to 1,404.48, 2,106.64 and 430.58

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Solution

The fourth proportional to 1,404.48, 2,106.64 and 430.58 is: 645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.48 : 2,106.64 = 430.58 : x
  2. Step 2: Convert to fraction form
    1,404.48/2,106.64 = 430.58/x
  3. Step 3: Cross multiply
    1,404.48x = 2,106.64 × 430.58
  4. Step 4: Simplify right side
    1,404.48x = 907,077.05
  5. Step 5: Solve for x
    x = 907,077.05/1,404.48
  6. Step 6: Final answer
    x = 645.85

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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.