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Finding the Fourth Proportional to 1,953.02, 2,929.08 and 566.05

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Solution

The fourth proportional to 1,953.02, 2,929.08 and 566.05 is: 848.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.02 : 2,929.08 = 566.05 : x
  2. Step 2: Convert to fraction form
    1,953.02/2,929.08 = 566.05/x
  3. Step 3: Cross multiply
    1,953.02x = 2,929.08 × 566.05
  4. Step 4: Simplify right side
    1,953.02x = 1,658,005.73
  5. Step 5: Solve for x
    x = 1,658,005.73/1,953.02
  6. Step 6: Final answer
    x = 848.94

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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.