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Finding the Fourth Proportional to 1,075.51, 1,612.99 and 344.93

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Solution

The fourth proportional to 1,075.51, 1,612.99 and 344.93 is: 517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.51 : 1,612.99 = 344.93 : x
  2. Step 2: Convert to fraction form
    1,075.51/1,612.99 = 344.93/x
  3. Step 3: Cross multiply
    1,075.51x = 1,612.99 × 344.93
  4. Step 4: Simplify right side
    1,075.51x = 556,368.64
  5. Step 5: Solve for x
    x = 556,368.64/1,075.51
  6. Step 6: Final answer
    x = 517.31

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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.