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Finding the Fourth Proportional to 895.82, 1,235.50 and 631.14

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Solution

The fourth proportional to 895.82, 1,235.50 and 631.14 is: 870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.82 : 1,235.50 = 631.14 : x
  2. Step 2: Convert to fraction form
    895.82/1,235.50 = 631.14/x
  3. Step 3: Cross multiply
    895.82x = 1,235.50 × 631.14
  4. Step 4: Simplify right side
    895.82x = 779,774.21
  5. Step 5: Solve for x
    x = 779,774.21/895.82
  6. Step 6: Final answer
    x = 870.46

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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.