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Finding the Fourth Proportional to 703.61, 1,054.61 and 429.09

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Solution

The fourth proportional to 703.61, 1,054.61 and 429.09 is: 643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.61 : 1,054.61 = 429.09 : x
  2. Step 2: Convert to fraction form
    703.61/1,054.61 = 429.09/x
  3. Step 3: Cross multiply
    703.61x = 1,054.61 × 429.09
  4. Step 4: Simplify right side
    703.61x = 452,522.07
  5. Step 5: Solve for x
    x = 452,522.07/703.61
  6. Step 6: Final answer
    x = 643.14

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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.