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Finding the Fourth Proportional to 1,244.19, 1,864.98 and 463.85

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Solution

The fourth proportional to 1,244.19, 1,864.98 and 463.85 is: 695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.19 : 1,864.98 = 463.85 : x
  2. Step 2: Convert to fraction form
    1,244.19/1,864.98 = 463.85/x
  3. Step 3: Cross multiply
    1,244.19x = 1,864.98 × 463.85
  4. Step 4: Simplify right side
    1,244.19x = 865,075.19
  5. Step 5: Solve for x
    x = 865,075.19/1,244.19
  6. Step 6: Final answer
    x = 695.29

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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.