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Finding the Fourth Proportional to 1,075.41, 1,612.71 and 527.31

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Solution

The fourth proportional to 1,075.41, 1,612.71 and 527.31 is: 790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.41 : 1,612.71 = 527.31 : x
  2. Step 2: Convert to fraction form
    1,075.41/1,612.71 = 527.31/x
  3. Step 3: Cross multiply
    1,075.41x = 1,612.71 × 527.31
  4. Step 4: Simplify right side
    1,075.41x = 850,398.11
  5. Step 5: Solve for x
    x = 850,398.11/1,075.41
  6. Step 6: Final answer
    x = 790.77

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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.