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Finding the Fourth Proportional to 761.64, 1,051.46 and 595.48

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Solution

The fourth proportional to 761.64, 1,051.46 and 595.48 is: 822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.64 : 1,051.46 = 595.48 : x
  2. Step 2: Convert to fraction form
    761.64/1,051.46 = 595.48/x
  3. Step 3: Cross multiply
    761.64x = 1,051.46 × 595.48
  4. Step 4: Simplify right side
    761.64x = 626,123.40
  5. Step 5: Solve for x
    x = 626,123.40/761.64
  6. Step 6: Final answer
    x = 822.07

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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.