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Finding the Fourth Proportional to 1,283.19, 1,924.46 and 358.50

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Solution

The fourth proportional to 1,283.19, 1,924.46 and 358.50 is: 537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.19 : 1,924.46 = 358.50 : x
  2. Step 2: Convert to fraction form
    1,283.19/1,924.46 = 358.50/x
  3. Step 3: Cross multiply
    1,283.19x = 1,924.46 × 358.50
  4. Step 4: Simplify right side
    1,283.19x = 689,925.68
  5. Step 5: Solve for x
    x = 689,925.68/1,283.19
  6. Step 6: Final answer
    x = 537.67

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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.