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Finding the Fourth Proportional to 917.07, 1,374.56 and 429.09

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Solution

The fourth proportional to 917.07, 1,374.56 and 429.09 is: 643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.07 : 1,374.56 = 429.09 : x
  2. Step 2: Convert to fraction form
    917.07/1,374.56 = 429.09/x
  3. Step 3: Cross multiply
    917.07x = 1,374.56 × 429.09
  4. Step 4: Simplify right side
    917.07x = 589,807.80
  5. Step 5: Solve for x
    x = 589,807.80/917.07
  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.