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Finding the Fourth Proportional to 761.04, 1,140.64 and 322.14

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Solution

The fourth proportional to 761.04, 1,140.64 and 322.14 is: 482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.04 : 1,140.64 = 322.14 : x
  2. Step 2: Convert to fraction form
    761.04/1,140.64 = 322.14/x
  3. Step 3: Cross multiply
    761.04x = 1,140.64 × 322.14
  4. Step 4: Simplify right side
    761.04x = 367,445.77
  5. Step 5: Solve for x
    x = 367,445.77/761.04
  6. Step 6: Final answer
    x = 482.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.