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Finding the Fourth Proportional to 1,075.04, 1,482.94 and 632.86

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Solution

The fourth proportional to 1,075.04, 1,482.94 and 632.86 is: 872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.04 : 1,482.94 = 632.86 : x
  2. Step 2: Convert to fraction form
    1,075.04/1,482.94 = 632.86/x
  3. Step 3: Cross multiply
    1,075.04x = 1,482.94 × 632.86
  4. Step 4: Simplify right side
    1,075.04x = 938,493.41
  5. Step 5: Solve for x
    x = 938,493.41/1,075.04
  6. Step 6: Final answer
    x = 872.98

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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.