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Finding the Fourth Proportional to 703.45, 1,055.54 and 497.58

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Solution

The fourth proportional to 703.45, 1,055.54 and 497.58 is: 746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.45 : 1,055.54 = 497.58 : x
  2. Step 2: Convert to fraction form
    703.45/1,055.54 = 497.58/x
  3. Step 3: Cross multiply
    703.45x = 1,055.54 × 497.58
  4. Step 4: Simplify right side
    703.45x = 525,215.59
  5. Step 5: Solve for x
    x = 525,215.59/703.45
  6. Step 6: Final answer
    x = 746.63

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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.