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Finding the Fourth Proportional to 703.53, 1,054.80 and 498.51

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Solution

The fourth proportional to 703.53, 1,054.80 and 498.51 is: 747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.53 : 1,054.80 = 498.51 : x
  2. Step 2: Convert to fraction form
    703.53/1,054.80 = 498.51/x
  3. Step 3: Cross multiply
    703.53x = 1,054.80 × 498.51
  4. Step 4: Simplify right side
    703.53x = 525,828.35
  5. Step 5: Solve for x
    x = 525,828.35/703.53
  6. Step 6: Final answer
    x = 747.41

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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.