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Finding the Fourth Proportional to 703.42, 1,056.05 and 564.67

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Solution

The fourth proportional to 703.42, 1,056.05 and 564.67 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.42 : 1,056.05 = 564.67 : x
  2. Step 2: Convert to fraction form
    703.42/1,056.05 = 564.67/x
  3. Step 3: Cross multiply
    703.42x = 1,056.05 × 564.67
  4. Step 4: Simplify right side
    703.42x = 596,316.93
  5. Step 5: Solve for x
    x = 596,316.93/703.42
  6. Step 6: Final answer
    x = 847.75

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Why These Related Problems?

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