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Finding the Fourth Proportional to 955.65, 1,432.35 and 565.83

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Solution

The fourth proportional to 955.65, 1,432.35 and 565.83 is: 848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.65 : 1,432.35 = 565.83 : x
  2. Step 2: Convert to fraction form
    955.65/1,432.35 = 565.83/x
  3. Step 3: Cross multiply
    955.65x = 1,432.35 × 565.83
  4. Step 4: Simplify right side
    955.65x = 810,466.60
  5. Step 5: Solve for x
    x = 810,466.60/955.65
  6. Step 6: Final answer
    x = 848.08

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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.