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Finding the Fourth Proportional to 659.51, 986.35 and 586.90

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Solution

The fourth proportional to 659.51, 986.35 and 586.90 is: 877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.51 : 986.35 = 586.90 : x
  2. Step 2: Convert to fraction form
    659.51/986.35 = 586.90/x
  3. Step 3: Cross multiply
    659.51x = 986.35 × 586.90
  4. Step 4: Simplify right side
    659.51x = 578,888.82
  5. Step 5: Solve for x
    x = 578,888.82/659.51
  6. Step 6: Final answer
    x = 877.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.