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Finding the Fourth Proportional to 765.51, 1,056.47 and 434

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Solution

The fourth proportional to 765.51, 1,056.47 and 434 is: 598.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.51 : 1,056.47 = 434 : x
  2. Step 2: Convert to fraction form
    765.51/1,056.47 = 434/x
  3. Step 3: Cross multiply
    765.51x = 1,056.47 × 434
  4. Step 4: Simplify right side
    765.51x = 458,507.98
  5. Step 5: Solve for x
    x = 458,507.98/765.51
  6. Step 6: Final answer
    x = 598.96

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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.