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Finding the Fourth Proportional to 688.32, 947.07 and 594.77

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Solution

The fourth proportional to 688.32, 947.07 and 594.77 is: 818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.32 : 947.07 = 594.77 : x
  2. Step 2: Convert to fraction form
    688.32/947.07 = 594.77/x
  3. Step 3: Cross multiply
    688.32x = 947.07 × 594.77
  4. Step 4: Simplify right side
    688.32x = 563,288.82
  5. Step 5: Solve for x
    x = 563,288.82/688.32
  6. Step 6: Final answer
    x = 818.35

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Why These Related Problems?

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