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Finding the Fourth Proportional to 1,404.16, 2,106.54 and 479.86

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Solution

The fourth proportional to 1,404.16, 2,106.54 and 479.86 is: 719.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.16 : 2,106.54 = 479.86 : x
  2. Step 2: Convert to fraction form
    1,404.16/2,106.54 = 479.86/x
  3. Step 3: Cross multiply
    1,404.16x = 2,106.54 × 479.86
  4. Step 4: Simplify right side
    1,404.16x = 1,010,844.28
  5. Step 5: Solve for x
    x = 1,010,844.28/1,404.16
  6. Step 6: Final answer
    x = 719.89

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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.