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Finding the Fourth Proportional to 912.69, 1,259.54 and 598.16

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Solution

The fourth proportional to 912.69, 1,259.54 and 598.16 is: 825.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.69 : 1,259.54 = 598.16 : x
  2. Step 2: Convert to fraction form
    912.69/1,259.54 = 598.16/x
  3. Step 3: Cross multiply
    912.69x = 1,259.54 × 598.16
  4. Step 4: Simplify right side
    912.69x = 753,397.16
  5. Step 5: Solve for x
    x = 753,397.16/912.69
  6. Step 6: Final answer
    x = 825.47

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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.