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Finding the Fourth Proportional to 765.46, 1,056.13 and 433.81

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Solution

The fourth proportional to 765.46, 1,056.13 and 433.81 is: 598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.46 : 1,056.13 = 433.81 : x
  2. Step 2: Convert to fraction form
    765.46/1,056.13 = 433.81/x
  3. Step 3: Cross multiply
    765.46x = 1,056.13 × 433.81
  4. Step 4: Simplify right side
    765.46x = 458,159.76
  5. Step 5: Solve for x
    x = 458,159.76/765.46
  6. Step 6: Final answer
    x = 598.54

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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.