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Finding the Fourth Proportional to 895.53, 1,235.01 and 580.46

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Solution

The fourth proportional to 895.53, 1,235.01 and 580.46 is: 800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.53 : 1,235.01 = 580.46 : x
  2. Step 2: Convert to fraction form
    895.53/1,235.01 = 580.46/x
  3. Step 3: Cross multiply
    895.53x = 1,235.01 × 580.46
  4. Step 4: Simplify right side
    895.53x = 716,878.44
  5. Step 5: Solve for x
    x = 716,878.44/895.53
  6. Step 6: Final answer
    x = 800.51

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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.