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Finding the Fourth Proportional to 1,312.65, 1,809.78 and 1,075.73

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Solution

The fourth proportional to 1,312.65, 1,809.78 and 1,075.73 is: 1,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.65 : 1,809.78 = 1,075.73 : x
  2. Step 2: Convert to fraction form
    1,312.65/1,809.78 = 1,075.73/x
  3. Step 3: Cross multiply
    1,312.65x = 1,809.78 × 1,075.73
  4. Step 4: Simplify right side
    1,312.65x = 1,946,834.64
  5. Step 5: Solve for x
    x = 1,946,834.64/1,312.65
  6. Step 6: Final answer
    x = 1,483.13

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