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Finding the Fourth Proportional to 910.86, 1,256.91 and 512.52

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Solution

The fourth proportional to 910.86, 1,256.91 and 512.52 is: 707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.86 : 1,256.91 = 512.52 : x
  2. Step 2: Convert to fraction form
    910.86/1,256.91 = 512.52/x
  3. Step 3: Cross multiply
    910.86x = 1,256.91 × 512.52
  4. Step 4: Simplify right side
    910.86x = 644,191.51
  5. Step 5: Solve for x
    x = 644,191.51/910.86
  6. Step 6: Final answer
    x = 707.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.