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Finding the Fourth Proportional to 1,285.65, 1,927.17 and 463.68

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Solution

The fourth proportional to 1,285.65, 1,927.17 and 463.68 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.65 : 1,927.17 = 463.68 : x
  2. Step 2: Convert to fraction form
    1,285.65/1,927.17 = 463.68/x
  3. Step 3: Cross multiply
    1,285.65x = 1,927.17 × 463.68
  4. Step 4: Simplify right side
    1,285.65x = 893,590.19
  5. Step 5: Solve for x
    x = 893,590.19/1,285.65
  6. Step 6: Final answer
    x = 695.05

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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.