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Finding the Fourth Proportional to 922.81, 1,384.55 and 435.74

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Solution

The fourth proportional to 922.81, 1,384.55 and 435.74 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.81 : 1,384.55 = 435.74 : x
  2. Step 2: Convert to fraction form
    922.81/1,384.55 = 435.74/x
  3. Step 3: Cross multiply
    922.81x = 1,384.55 × 435.74
  4. Step 4: Simplify right side
    922.81x = 603,303.82
  5. Step 5: Solve for x
    x = 603,303.82/922.81
  6. Step 6: Final answer
    x = 653.77

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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.