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Finding the Fourth Proportional to 877.31, 1,210.64 and 583.11

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Solution

The fourth proportional to 877.31, 1,210.64 and 583.11 is: 804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.31 : 1,210.64 = 583.11 : x
  2. Step 2: Convert to fraction form
    877.31/1,210.64 = 583.11/x
  3. Step 3: Cross multiply
    877.31x = 1,210.64 × 583.11
  4. Step 4: Simplify right side
    877.31x = 705,936.29
  5. Step 5: Solve for x
    x = 705,936.29/877.31
  6. Step 6: Final answer
    x = 804.66

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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.