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Finding the Fourth Proportional to 948.15, 1,424.53 and 895.70

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Solution

The fourth proportional to 948.15, 1,424.53 and 895.70 is: 1,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.15 : 1,424.53 = 895.70 : x
  2. Step 2: Convert to fraction form
    948.15/1,424.53 = 895.70/x
  3. Step 3: Cross multiply
    948.15x = 1,424.53 × 895.70
  4. Step 4: Simplify right side
    948.15x = 1,275,944.40
  5. Step 5: Solve for x
    x = 1,275,944.40/948.15
  6. Step 6: Final answer
    x = 1,345.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.