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Finding the Fourth Proportional to 1,358.49, 2,038.76 and 628.58

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Solution

The fourth proportional to 1,358.49, 2,038.76 and 628.58 is: 943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.49 : 2,038.76 = 628.58 : x
  2. Step 2: Convert to fraction form
    1,358.49/2,038.76 = 628.58/x
  3. Step 3: Cross multiply
    1,358.49x = 2,038.76 × 628.58
  4. Step 4: Simplify right side
    1,358.49x = 1,281,528.07
  5. Step 5: Solve for x
    x = 1,281,528.07/1,358.49
  6. Step 6: Final answer
    x = 943.34

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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.