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Finding the Fourth Proportional to 924.90, 1,384.65 and 897.90

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Solution

The fourth proportional to 924.90, 1,384.65 and 897.90 is: 1,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.90 : 1,384.65 = 897.90 : x
  2. Step 2: Convert to fraction form
    924.90/1,384.65 = 897.90/x
  3. Step 3: Cross multiply
    924.90x = 1,384.65 × 897.90
  4. Step 4: Simplify right side
    924.90x = 1,243,277.24
  5. Step 5: Solve for x
    x = 1,243,277.24/924.90
  6. Step 6: Final answer
    x = 1,344.23

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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.