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Finding the Fourth Proportional to 895.76, 1,235.66 and 601.22

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Solution

The fourth proportional to 895.76, 1,235.66 and 601.22 is: 829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.76 : 1,235.66 = 601.22 : x
  2. Step 2: Convert to fraction form
    895.76/1,235.66 = 601.22/x
  3. Step 3: Cross multiply
    895.76x = 1,235.66 × 601.22
  4. Step 4: Simplify right side
    895.76x = 742,903.59
  5. Step 5: Solve for x
    x = 742,903.59/895.76
  6. Step 6: Final answer
    x = 829.36

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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.