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Finding the Fourth Proportional to 763.52, 1,051.26 and 651.74

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Solution

The fourth proportional to 763.52, 1,051.26 and 651.74 is: 897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.52 : 1,051.26 = 651.74 : x
  2. Step 2: Convert to fraction form
    763.52/1,051.26 = 651.74/x
  3. Step 3: Cross multiply
    763.52x = 1,051.26 × 651.74
  4. Step 4: Simplify right side
    763.52x = 685,148.19
  5. Step 5: Solve for x
    x = 685,148.19/763.52
  6. Step 6: Final answer
    x = 897.35

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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.