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Finding the Fourth Proportional to 922.93, 1,384.06 and 374.93

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Solution

The fourth proportional to 922.93, 1,384.06 and 374.93 is: 562.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.93 : 1,384.06 = 374.93 : x
  2. Step 2: Convert to fraction form
    922.93/1,384.06 = 374.93/x
  3. Step 3: Cross multiply
    922.93x = 1,384.06 × 374.93
  4. Step 4: Simplify right side
    922.93x = 518,925.62
  5. Step 5: Solve for x
    x = 518,925.62/922.93
  6. Step 6: Final answer
    x = 562.26

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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.