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Finding the Fourth Proportional to 1,120.57, 1,678.12 and 924.35

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Solution

The fourth proportional to 1,120.57, 1,678.12 and 924.35 is: 1,384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.57 : 1,678.12 = 924.35 : x
  2. Step 2: Convert to fraction form
    1,120.57/1,678.12 = 924.35/x
  3. Step 3: Cross multiply
    1,120.57x = 1,678.12 × 924.35
  4. Step 4: Simplify right side
    1,120.57x = 1,551,159.52
  5. Step 5: Solve for x
    x = 1,551,159.52/1,120.57
  6. Step 6: Final answer
    x = 1,384.26

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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.