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Finding the Fourth Proportional to 1,030.26, 1,423.62 and 735.01

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Solution

The fourth proportional to 1,030.26, 1,423.62 and 735.01 is: 1,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.26 : 1,423.62 = 735.01 : x
  2. Step 2: Convert to fraction form
    1,030.26/1,423.62 = 735.01/x
  3. Step 3: Cross multiply
    1,030.26x = 1,423.62 × 735.01
  4. Step 4: Simplify right side
    1,030.26x = 1,046,374.94
  5. Step 5: Solve for x
    x = 1,046,374.94/1,030.26
  6. Step 6: Final answer
    x = 1,015.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.