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Finding the Fourth Proportional to 1,183,698, 1,633,509 and 647,154

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Solution

The fourth proportional to 1,183,698, 1,633,509 and 647,154 is: 893,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,698 : 1,633,509 = 647,154 : x
  2. Step 2: Convert to fraction form
    1,183,698/1,633,509 = 647,154/x
  3. Step 3: Cross multiply
    1,183,698x = 1,633,509 × 647,154
  4. Step 4: Simplify right side
    1,183,698x = 1,057,131,883,386
  5. Step 5: Solve for x
    x = 1,057,131,883,386/1,183,698
  6. Step 6: Final answer
    x = 893,075.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.