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Finding the Fourth Proportional to 1,384.70, 2,075.84 and 898.70

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Solution

The fourth proportional to 1,384.70, 2,075.84 and 898.70 is: 1,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.70 : 2,075.84 = 898.70 : x
  2. Step 2: Convert to fraction form
    1,384.70/2,075.84 = 898.70/x
  3. Step 3: Cross multiply
    1,384.70x = 2,075.84 × 898.70
  4. Step 4: Simplify right side
    1,384.70x = 1,865,552.91
  5. Step 5: Solve for x
    x = 1,865,552.91/1,384.70
  6. Step 6: Final answer
    x = 1,347.26

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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.