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Finding the Fourth Proportional to 895.53, 1,236.36 and 581.25

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Solution

The fourth proportional to 895.53, 1,236.36 and 581.25 is: 802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.53 : 1,236.36 = 581.25 : x
  2. Step 2: Convert to fraction form
    895.53/1,236.36 = 581.25/x
  3. Step 3: Cross multiply
    895.53x = 1,236.36 × 581.25
  4. Step 4: Simplify right side
    895.53x = 718,634.25
  5. Step 5: Solve for x
    x = 718,634.25/895.53
  6. Step 6: Final answer
    x = 802.47

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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.