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Finding the Fourth Proportional to 955.28, 1,430.97 and 564.10

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Solution

The fourth proportional to 955.28, 1,430.97 and 564.10 is: 845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.28 : 1,430.97 = 564.10 : x
  2. Step 2: Convert to fraction form
    955.28/1,430.97 = 564.10/x
  3. Step 3: Cross multiply
    955.28x = 1,430.97 × 564.10
  4. Step 4: Simplify right side
    955.28x = 807,210.52
  5. Step 5: Solve for x
    x = 807,210.52/955.28
  6. Step 6: Final answer
    x = 845.00

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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.