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Finding the Fourth Proportional to 1,703.98, 2,555.97 and 534.00

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Solution

The fourth proportional to 1,703.98, 2,555.97 and 534.00 is: 800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.98 : 2,555.97 = 534.00 : x
  2. Step 2: Convert to fraction form
    1,703.98/2,555.97 = 534.00/x
  3. Step 3: Cross multiply
    1,703.98x = 2,555.97 × 534.00
  4. Step 4: Simplify right side
    1,703.98x = 1,364,875.20
  5. Step 5: Solve for x
    x = 1,364,875.20/1,703.98
  6. Step 6: Final answer
    x = 800.99

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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.