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Finding the Fourth Proportional to 746.76, 1,113.75 and 707.88

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Solution

The fourth proportional to 746.76, 1,113.75 and 707.88 is: 1,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.76 : 1,113.75 = 707.88 : x
  2. Step 2: Convert to fraction form
    746.76/1,113.75 = 707.88/x
  3. Step 3: Cross multiply
    746.76x = 1,113.75 × 707.88
  4. Step 4: Simplify right side
    746.76x = 788,401.35
  5. Step 5: Solve for x
    x = 788,401.35/746.76
  6. Step 6: Final answer
    x = 1,055.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.