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Finding the Fourth Proportional to 703.70, 1,055.55 and 458.90

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Solution

The fourth proportional to 703.70, 1,055.55 and 458.90 is: 688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.70 : 1,055.55 = 458.90 : x
  2. Step 2: Convert to fraction form
    703.70/1,055.55 = 458.90/x
  3. Step 3: Cross multiply
    703.70x = 1,055.55 × 458.90
  4. Step 4: Simplify right side
    703.70x = 484,391.90
  5. Step 5: Solve for x
    x = 484,391.90/703.70
  6. Step 6: Final answer
    x = 688.35

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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.