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Finding the Fourth Proportional to 1,033.79, 1,550.59 and 340.45

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Solution

The fourth proportional to 1,033.79, 1,550.59 and 340.45 is: 510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.79 : 1,550.59 = 340.45 : x
  2. Step 2: Convert to fraction form
    1,033.79/1,550.59 = 340.45/x
  3. Step 3: Cross multiply
    1,033.79x = 1,550.59 × 340.45
  4. Step 4: Simplify right side
    1,033.79x = 527,893.64
  5. Step 5: Solve for x
    x = 527,893.64/1,033.79
  6. Step 6: Final answer
    x = 510.64

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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.