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Finding the Fourth Proportional to 917.42, 1,262.33 and 895.55

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Solution

The fourth proportional to 917.42, 1,262.33 and 895.55 is: 1,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,262.33 = 895.55 : x
  2. Step 2: Convert to fraction form
    917.42/1,262.33 = 895.55/x
  3. Step 3: Cross multiply
    917.42x = 1,262.33 × 895.55
  4. Step 4: Simplify right side
    917.42x = 1,130,468.84
  5. Step 5: Solve for x
    x = 1,130,468.84/917.42
  6. Step 6: Final answer
    x = 1,232.23

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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.