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Finding the Fourth Proportional to 917.89, 1,264.08 and 807.33

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Solution

The fourth proportional to 917.89, 1,264.08 and 807.33 is: 1,111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.89 : 1,264.08 = 807.33 : x
  2. Step 2: Convert to fraction form
    917.89/1,264.08 = 807.33/x
  3. Step 3: Cross multiply
    917.89x = 1,264.08 × 807.33
  4. Step 4: Simplify right side
    917.89x = 1,020,529.71
  5. Step 5: Solve for x
    x = 1,020,529.71/917.89
  6. Step 6: Final answer
    x = 1,111.82

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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.