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Finding the Fourth Proportional to 1,075.51, 1,612.77 and 458.92

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Solution

The fourth proportional to 1,075.51, 1,612.77 and 458.92 is: 688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.51 : 1,612.77 = 458.92 : x
  2. Step 2: Convert to fraction form
    1,075.51/1,612.77 = 458.92/x
  3. Step 3: Cross multiply
    1,075.51x = 1,612.77 × 458.92
  4. Step 4: Simplify right side
    1,075.51x = 740,132.41
  5. Step 5: Solve for x
    x = 740,132.41/1,075.51
  6. Step 6: Final answer
    x = 688.17

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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.