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Finding the Fourth Proportional to 912.46, 1,259.60 and 581.32

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Solution

The fourth proportional to 912.46, 1,259.60 and 581.32 is: 802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.46 : 1,259.60 = 581.32 : x
  2. Step 2: Convert to fraction form
    912.46/1,259.60 = 581.32/x
  3. Step 3: Cross multiply
    912.46x = 1,259.60 × 581.32
  4. Step 4: Simplify right side
    912.46x = 732,230.67
  5. Step 5: Solve for x
    x = 732,230.67/912.46
  6. Step 6: Final answer
    x = 802.48

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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.