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Finding the Fourth Proportional to 907.12, 1,359.84 and 473.76

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Solution

The fourth proportional to 907.12, 1,359.84 and 473.76 is: 710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.12 : 1,359.84 = 473.76 : x
  2. Step 2: Convert to fraction form
    907.12/1,359.84 = 473.76/x
  3. Step 3: Cross multiply
    907.12x = 1,359.84 × 473.76
  4. Step 4: Simplify right side
    907.12x = 644,237.80
  5. Step 5: Solve for x
    x = 644,237.80/907.12
  6. Step 6: Final answer
    x = 710.20

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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.