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Finding the Fourth Proportional to 841.05, 1,160.63 and 468.01

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Solution

The fourth proportional to 841.05, 1,160.63 and 468.01 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.05 : 1,160.63 = 468.01 : x
  2. Step 2: Convert to fraction form
    841.05/1,160.63 = 468.01/x
  3. Step 3: Cross multiply
    841.05x = 1,160.63 × 468.01
  4. Step 4: Simplify right side
    841.05x = 543,181.20
  5. Step 5: Solve for x
    x = 543,181.20/841.05
  6. Step 6: Final answer
    x = 645.84

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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.