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Finding the Fourth Proportional to 801.50, 1,106.06 and 507.00

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Solution

The fourth proportional to 801.50, 1,106.06 and 507.00 is: 699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,106.06 = 507.00 : x
  2. Step 2: Convert to fraction form
    801.50/1,106.06 = 507.00/x
  3. Step 3: Cross multiply
    801.50x = 1,106.06 × 507.00
  4. Step 4: Simplify right side
    801.50x = 560,774.03
  5. Step 5: Solve for x
    x = 560,774.03/801.50
  6. Step 6: Final answer
    x = 699.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.