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Finding the Fourth Proportional to 700.32, 966.24 and 583.68

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Solution

The fourth proportional to 700.32, 966.24 and 583.68 is: 805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.32 : 966.24 = 583.68 : x
  2. Step 2: Convert to fraction form
    700.32/966.24 = 583.68/x
  3. Step 3: Cross multiply
    700.32x = 966.24 × 583.68
  4. Step 4: Simplify right side
    700.32x = 563,974.96
  5. Step 5: Solve for x
    x = 563,974.96/700.32
  6. Step 6: Final answer
    x = 805.31

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1.5x scale

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.