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Finding the Fourth Proportional to 917.36, 1,364.35 and 907.64

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Solution

The fourth proportional to 917.36, 1,364.35 and 907.64 is: 1,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.36 : 1,364.35 = 907.64 : x
  2. Step 2: Convert to fraction form
    917.36/1,364.35 = 907.64/x
  3. Step 3: Cross multiply
    917.36x = 1,364.35 × 907.64
  4. Step 4: Simplify right side
    917.36x = 1,238,338.63
  5. Step 5: Solve for x
    x = 1,238,338.63/917.36
  6. Step 6: Final answer
    x = 1,349.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.