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Finding the Fourth Proportional to 703.77, 1,055.65 and 415

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Solution

The fourth proportional to 703.77, 1,055.65 and 415 is: 622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.77 : 1,055.65 = 415 : x
  2. Step 2: Convert to fraction form
    703.77/1,055.65 = 415/x
  3. Step 3: Cross multiply
    703.77x = 1,055.65 × 415
  4. Step 4: Simplify right side
    703.77x = 438,094.75
  5. Step 5: Solve for x
    x = 438,094.75/703.77
  6. Step 6: Final answer
    x = 622.50

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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.