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Finding the Fourth Proportional to 924.40, 1,384.04 and 761.84

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Solution

The fourth proportional to 924.40, 1,384.04 and 761.84 is: 1,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.40 : 1,384.04 = 761.84 : x
  2. Step 2: Convert to fraction form
    924.40/1,384.04 = 761.84/x
  3. Step 3: Cross multiply
    924.40x = 1,384.04 × 761.84
  4. Step 4: Simplify right side
    924.40x = 1,054,417.03
  5. Step 5: Solve for x
    x = 1,054,417.03/924.40
  6. Step 6: Final answer
    x = 1,140.65

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