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Finding the Fourth Proportional to 984.84, 1,477.58 and 291.51

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Solution

The fourth proportional to 984.84, 1,477.58 and 291.51 is: 437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.84 : 1,477.58 = 291.51 : x
  2. Step 2: Convert to fraction form
    984.84/1,477.58 = 291.51/x
  3. Step 3: Cross multiply
    984.84x = 1,477.58 × 291.51
  4. Step 4: Simplify right side
    984.84x = 430,727.89
  5. Step 5: Solve for x
    x = 430,727.89/984.84
  6. Step 6: Final answer
    x = 437.36

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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.