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Finding the Fourth Proportional to 924.48, 1,384.20 and 707.04

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Solution

The fourth proportional to 924.48, 1,384.20 and 707.04 is: 1,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.48 : 1,384.20 = 707.04 : x
  2. Step 2: Convert to fraction form
    924.48/1,384.20 = 707.04/x
  3. Step 3: Cross multiply
    924.48x = 1,384.20 × 707.04
  4. Step 4: Simplify right side
    924.48x = 978,684.77
  5. Step 5: Solve for x
    x = 978,684.77/924.48
  6. Step 6: Final answer
    x = 1,058.63

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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.