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Finding the Fourth Proportional to 955.77, 1,430.04 and 565.98

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Solution

The fourth proportional to 955.77, 1,430.04 and 565.98 is: 846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.77 : 1,430.04 = 565.98 : x
  2. Step 2: Convert to fraction form
    955.77/1,430.04 = 565.98/x
  3. Step 3: Cross multiply
    955.77x = 1,430.04 × 565.98
  4. Step 4: Simplify right side
    955.77x = 809,374.07
  5. Step 5: Solve for x
    x = 809,374.07/955.77
  6. Step 6: Final answer
    x = 846.83

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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.