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Finding the Fourth Proportional to 1,184.86, 1,776.53 and 492.01

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Solution

The fourth proportional to 1,184.86, 1,776.53 and 492.01 is: 737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.86 : 1,776.53 = 492.01 : x
  2. Step 2: Convert to fraction form
    1,184.86/1,776.53 = 492.01/x
  3. Step 3: Cross multiply
    1,184.86x = 1,776.53 × 492.01
  4. Step 4: Simplify right side
    1,184.86x = 874,066.39
  5. Step 5: Solve for x
    x = 874,066.39/1,184.86
  6. Step 6: Final answer
    x = 737.70

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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.