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Finding the Fourth Proportional to 1,225.79, 1,838.88 and 678.50

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Solution

The fourth proportional to 1,225.79, 1,838.88 and 678.50 is: 1,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.79 : 1,838.88 = 678.50 : x
  2. Step 2: Convert to fraction form
    1,225.79/1,838.88 = 678.50/x
  3. Step 3: Cross multiply
    1,225.79x = 1,838.88 × 678.50
  4. Step 4: Simplify right side
    1,225.79x = 1,247,670.89
  5. Step 5: Solve for x
    x = 1,247,670.89/1,225.79
  6. Step 6: Final answer
    x = 1,017.85

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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.