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Finding the Fourth Proportional to 710.36, 1,065.76 and 505.34

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Solution

The fourth proportional to 710.36, 1,065.76 and 505.34 is: 758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.36 : 1,065.76 = 505.34 : x
  2. Step 2: Convert to fraction form
    710.36/1,065.76 = 505.34/x
  3. Step 3: Cross multiply
    710.36x = 1,065.76 × 505.34
  4. Step 4: Simplify right side
    710.36x = 538,571.16
  5. Step 5: Solve for x
    x = 538,571.16/710.36
  6. Step 6: Final answer
    x = 758.17

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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.