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Finding the Fourth Proportional to 1,256.65, 1,884.57 and 435.17

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Solution

The fourth proportional to 1,256.65, 1,884.57 and 435.17 is: 652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.65 : 1,884.57 = 435.17 : x
  2. Step 2: Convert to fraction form
    1,256.65/1,884.57 = 435.17/x
  3. Step 3: Cross multiply
    1,256.65x = 1,884.57 × 435.17
  4. Step 4: Simplify right side
    1,256.65x = 820,111.41
  5. Step 5: Solve for x
    x = 820,111.41/1,256.65
  6. Step 6: Final answer
    x = 652.62

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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.