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Finding the Fourth Proportional to 841.01, 1,160.47 and 468.00

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Solution

The fourth proportional to 841.01, 1,160.47 and 468.00 is: 645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.01 : 1,160.47 = 468.00 : x
  2. Step 2: Convert to fraction form
    841.01/1,160.47 = 468.00/x
  3. Step 3: Cross multiply
    841.01x = 1,160.47 × 468.00
  4. Step 4: Simplify right side
    841.01x = 543,094.16
  5. Step 5: Solve for x
    x = 543,094.16/841.01
  6. Step 6: Final answer
    x = 645.76

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