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Finding the Fourth Proportional to 1,207.08, 1,810.98 and 557.64

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Solution

The fourth proportional to 1,207.08, 1,810.98 and 557.64 is: 836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.08 : 1,810.98 = 557.64 : x
  2. Step 2: Convert to fraction form
    1,207.08/1,810.98 = 557.64/x
  3. Step 3: Cross multiply
    1,207.08x = 1,810.98 × 557.64
  4. Step 4: Simplify right side
    1,207.08x = 1,009,874.89
  5. Step 5: Solve for x
    x = 1,009,874.89/1,207.08
  6. Step 6: Final answer
    x = 836.63

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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.