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Finding the Fourth Proportional to 1,116.84, 1,675.14 and 347.40

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Solution

The fourth proportional to 1,116.84, 1,675.14 and 347.40 is: 521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.84 : 1,675.14 = 347.40 : x
  2. Step 2: Convert to fraction form
    1,116.84/1,675.14 = 347.40/x
  3. Step 3: Cross multiply
    1,116.84x = 1,675.14 × 347.40
  4. Step 4: Simplify right side
    1,116.84x = 581,943.64
  5. Step 5: Solve for x
    x = 581,943.64/1,116.84
  6. Step 6: Final answer
    x = 521.06

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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.