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Finding the Fourth Proportional to 761.88, 1,051.98 and 584.56

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Solution

The fourth proportional to 761.88, 1,051.98 and 584.56 is: 807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.88 : 1,051.98 = 584.56 : x
  2. Step 2: Convert to fraction form
    761.88/1,051.98 = 584.56/x
  3. Step 3: Cross multiply
    761.88x = 1,051.98 × 584.56
  4. Step 4: Simplify right side
    761.88x = 614,941.63
  5. Step 5: Solve for x
    x = 614,941.63/761.88
  6. Step 6: Final answer
    x = 807.14

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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.