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Finding the Fourth Proportional to 659.58, 907.90 and 576.01

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Solution

The fourth proportional to 659.58, 907.90 and 576.01 is: 792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.58 : 907.90 = 576.01 : x
  2. Step 2: Convert to fraction form
    659.58/907.90 = 576.01/x
  3. Step 3: Cross multiply
    659.58x = 907.90 × 576.01
  4. Step 4: Simplify right side
    659.58x = 522,959.48
  5. Step 5: Solve for x
    x = 522,959.48/659.58
  6. Step 6: Final answer
    x = 792.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.