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Finding the Fourth Proportional to 912.36, 1,259.08 and 690.93

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Solution

The fourth proportional to 912.36, 1,259.08 and 690.93 is: 953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.36 : 1,259.08 = 690.93 : x
  2. Step 2: Convert to fraction form
    912.36/1,259.08 = 690.93/x
  3. Step 3: Cross multiply
    912.36x = 1,259.08 × 690.93
  4. Step 4: Simplify right side
    912.36x = 869,936.14
  5. Step 5: Solve for x
    x = 869,936.14/912.36
  6. Step 6: Final answer
    x = 953.50

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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.