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Finding the Fourth Proportional to 897.94, 1,344.57 and 464.14

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Solution

The fourth proportional to 897.94, 1,344.57 and 464.14 is: 695.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.94 : 1,344.57 = 464.14 : x
  2. Step 2: Convert to fraction form
    897.94/1,344.57 = 464.14/x
  3. Step 3: Cross multiply
    897.94x = 1,344.57 × 464.14
  4. Step 4: Simplify right side
    897.94x = 624,068.72
  5. Step 5: Solve for x
    x = 624,068.72/897.94
  6. Step 6: Final answer
    x = 695.00

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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.