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Finding the Fourth Proportional to 1,576.39, 2,362.92 and 535.45

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Solution

The fourth proportional to 1,576.39, 2,362.92 and 535.45 is: 802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.39 : 2,362.92 = 535.45 : x
  2. Step 2: Convert to fraction form
    1,576.39/2,362.92 = 535.45/x
  3. Step 3: Cross multiply
    1,576.39x = 2,362.92 × 535.45
  4. Step 4: Simplify right side
    1,576.39x = 1,265,225.51
  5. Step 5: Solve for x
    x = 1,265,225.51/1,576.39
  6. Step 6: Final answer
    x = 802.61

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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.