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Finding the Fourth Proportional to 704.04, 1,057.28 and 560.67

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Solution

The fourth proportional to 704.04, 1,057.28 and 560.67 is: 841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.04 : 1,057.28 = 560.67 : x
  2. Step 2: Convert to fraction form
    704.04/1,057.28 = 560.67/x
  3. Step 3: Cross multiply
    704.04x = 1,057.28 × 560.67
  4. Step 4: Simplify right side
    704.04x = 592,782.37
  5. Step 5: Solve for x
    x = 592,782.37/704.04
  6. Step 6: Final answer
    x = 841.97

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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.