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Finding the Fourth Proportional to 707.10, 975.33 and 559.50

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Solution

The fourth proportional to 707.10, 975.33 and 559.50 is: 771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.10 : 975.33 = 559.50 : x
  2. Step 2: Convert to fraction form
    707.10/975.33 = 559.50/x
  3. Step 3: Cross multiply
    707.10x = 975.33 × 559.50
  4. Step 4: Simplify right side
    707.10x = 545,697.14
  5. Step 5: Solve for x
    x = 545,697.14/707.10
  6. Step 6: Final answer
    x = 771.74

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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.