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Finding the Fourth Proportional to 601.94, 907.72 and 530.90

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Solution

The fourth proportional to 601.94, 907.72 and 530.90 is: 800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.94 : 907.72 = 530.90 : x
  2. Step 2: Convert to fraction form
    601.94/907.72 = 530.90/x
  3. Step 3: Cross multiply
    601.94x = 907.72 × 530.90
  4. Step 4: Simplify right side
    601.94x = 481,905.89
  5. Step 5: Solve for x
    x = 481,905.89/601.94
  6. Step 6: Final answer
    x = 800.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.