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Finding the Fourth Proportional to 765.42, 1,056.36 and 433.86

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Solution

The fourth proportional to 765.42, 1,056.36 and 433.86 is: 598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.42 : 1,056.36 = 433.86 : x
  2. Step 2: Convert to fraction form
    765.42/1,056.36 = 433.86/x
  3. Step 3: Cross multiply
    765.42x = 1,056.36 × 433.86
  4. Step 4: Simplify right side
    765.42x = 458,312.35
  5. Step 5: Solve for x
    x = 458,312.35/765.42
  6. Step 6: Final answer
    x = 598.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.