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Finding the Fourth Proportional to 761.16, 1,051.26 and 588.60

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Solution

The fourth proportional to 761.16, 1,051.26 and 588.60 is: 812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.16 : 1,051.26 = 588.60 : x
  2. Step 2: Convert to fraction form
    761.16/1,051.26 = 588.60/x
  3. Step 3: Cross multiply
    761.16x = 1,051.26 × 588.60
  4. Step 4: Simplify right side
    761.16x = 618,771.64
  5. Step 5: Solve for x
    x = 618,771.64/761.16
  6. Step 6: Final answer
    x = 812.93

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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.