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Finding the Fourth Proportional to 765.93, 1,056.76 and 434.35

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Solution

The fourth proportional to 765.93, 1,056.76 and 434.35 is: 599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.93 : 1,056.76 = 434.35 : x
  2. Step 2: Convert to fraction form
    765.93/1,056.76 = 434.35/x
  3. Step 3: Cross multiply
    765.93x = 1,056.76 × 434.35
  4. Step 4: Simplify right side
    765.93x = 459,003.71
  5. Step 5: Solve for x
    x = 459,003.71/765.93
  6. Step 6: Final answer
    x = 599.28

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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.