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Finding the Fourth Proportional to 895.02, 1,235.34 and 601.14

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Solution

The fourth proportional to 895.02, 1,235.34 and 601.14 is: 829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.02 : 1,235.34 = 601.14 : x
  2. Step 2: Convert to fraction form
    895.02/1,235.34 = 601.14/x
  3. Step 3: Cross multiply
    895.02x = 1,235.34 × 601.14
  4. Step 4: Simplify right side
    895.02x = 742,612.29
  5. Step 5: Solve for x
    x = 742,612.29/895.02
  6. Step 6: Final answer
    x = 829.72

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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.