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Finding the Fourth Proportional to 801.80, 1,106.50 and 507.24

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Solution

The fourth proportional to 801.80, 1,106.50 and 507.24 is: 700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.80 : 1,106.50 = 507.24 : x
  2. Step 2: Convert to fraction form
    801.80/1,106.50 = 507.24/x
  3. Step 3: Cross multiply
    801.80x = 1,106.50 × 507.24
  4. Step 4: Simplify right side
    801.80x = 561,261.06
  5. Step 5: Solve for x
    x = 561,261.06/801.80
  6. Step 6: Final answer
    x = 700.00

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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.