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Finding the Fourth Proportional to 765.58, 1,056.46 and 434.01

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Solution

The fourth proportional to 765.58, 1,056.46 and 434.01 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.58 : 1,056.46 = 434.01 : x
  2. Step 2: Convert to fraction form
    765.58/1,056.46 = 434.01/x
  3. Step 3: Cross multiply
    765.58x = 1,056.46 × 434.01
  4. Step 4: Simplify right side
    765.58x = 458,514.20
  5. Step 5: Solve for x
    x = 458,514.20/765.58
  6. Step 6: Final answer
    x = 598.91

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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.