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Finding the Fourth Proportional to 707.65, 1,060.71 and 341.93

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Solution

The fourth proportional to 707.65, 1,060.71 and 341.93 is: 512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.65 : 1,060.71 = 341.93 : x
  2. Step 2: Convert to fraction form
    707.65/1,060.71 = 341.93/x
  3. Step 3: Cross multiply
    707.65x = 1,060.71 × 341.93
  4. Step 4: Simplify right side
    707.65x = 362,689.94
  5. Step 5: Solve for x
    x = 362,689.94/707.65
  6. Step 6: Final answer
    x = 512.53

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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.