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Finding the Fourth Proportional to 710.99, 1,066.36 and 504.93

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Solution

The fourth proportional to 710.99, 1,066.36 and 504.93 is: 757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.99 : 1,066.36 = 504.93 : x
  2. Step 2: Convert to fraction form
    710.99/1,066.36 = 504.93/x
  3. Step 3: Cross multiply
    710.99x = 1,066.36 × 504.93
  4. Step 4: Simplify right side
    710.99x = 538,437.15
  5. Step 5: Solve for x
    x = 538,437.15/710.99
  6. Step 6: Final answer
    x = 757.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.