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Finding the Fourth Proportional to 953.36, 1,430.04 and 782

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Solution

The fourth proportional to 953.36, 1,430.04 and 782 is: 1,173

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.36 : 1,430.04 = 782 : x
  2. Step 2: Convert to fraction form
    953.36/1,430.04 = 782/x
  3. Step 3: Cross multiply
    953.36x = 1,430.04 × 782
  4. Step 4: Simplify right side
    953.36x = 1,118,291.28
  5. Step 5: Solve for x
    x = 1,118,291.28/953.36
  6. Step 6: Final answer
    x = 1,173

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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.