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Finding the Fourth Proportional to 953.15, 1,432.04 and 780.93

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Solution

The fourth proportional to 953.15, 1,432.04 and 780.93 is: 1,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.15 : 1,432.04 = 780.93 : x
  2. Step 2: Convert to fraction form
    953.15/1,432.04 = 780.93/x
  3. Step 3: Cross multiply
    953.15x = 1,432.04 × 780.93
  4. Step 4: Simplify right side
    953.15x = 1,118,319.09
  5. Step 5: Solve for x
    x = 1,118,319.09/953.15
  6. Step 6: Final answer
    x = 1,173.29

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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.