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Finding the Fourth Proportional to 707.90, 1,060.16 and 341.51

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Solution

The fourth proportional to 707.90, 1,060.16 and 341.51 is: 511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.90 : 1,060.16 = 341.51 : x
  2. Step 2: Convert to fraction form
    707.90/1,060.16 = 341.51/x
  3. Step 3: Cross multiply
    707.90x = 1,060.16 × 341.51
  4. Step 4: Simplify right side
    707.90x = 362,048.23
  5. Step 5: Solve for x
    x = 362,048.23/707.90
  6. Step 6: Final answer
    x = 511.44

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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.