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Finding the Fourth Proportional to 907.50, 1,362.10 and 583.04

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Solution

The fourth proportional to 907.50, 1,362.10 and 583.04 is: 875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.50 : 1,362.10 = 583.04 : x
  2. Step 2: Convert to fraction form
    907.50/1,362.10 = 583.04/x
  3. Step 3: Cross multiply
    907.50x = 1,362.10 × 583.04
  4. Step 4: Simplify right side
    907.50x = 794,158.78
  5. Step 5: Solve for x
    x = 794,158.78/907.50
  6. Step 6: Final answer
    x = 875.11

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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.