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Finding the Fourth Proportional to 710.34, 1,065.23 and 345.02

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Solution

The fourth proportional to 710.34, 1,065.23 and 345.02 is: 517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.34 : 1,065.23 = 345.02 : x
  2. Step 2: Convert to fraction form
    710.34/1,065.23 = 345.02/x
  3. Step 3: Cross multiply
    710.34x = 1,065.23 × 345.02
  4. Step 4: Simplify right side
    710.34x = 367,525.65
  5. Step 5: Solve for x
    x = 367,525.65/710.34
  6. Step 6: Final answer
    x = 517.39

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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.