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Finding the Fourth Proportional to 1,119.18, 1,678.98 and 349.50

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Solution

The fourth proportional to 1,119.18, 1,678.98 and 349.50 is: 524.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.18 : 1,678.98 = 349.50 : x
  2. Step 2: Convert to fraction form
    1,119.18/1,678.98 = 349.50/x
  3. Step 3: Cross multiply
    1,119.18x = 1,678.98 × 349.50
  4. Step 4: Simplify right side
    1,119.18x = 586,803.51
  5. Step 5: Solve for x
    x = 586,803.51/1,119.18
  6. Step 6: Final answer
    x = 524.32

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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.