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Finding the Fourth Proportional to 704.16, 1,051.95 and 560.04

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Solution

The fourth proportional to 704.16, 1,051.95 and 560.04 is: 836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.16 : 1,051.95 = 560.04 : x
  2. Step 2: Convert to fraction form
    704.16/1,051.95 = 560.04/x
  3. Step 3: Cross multiply
    704.16x = 1,051.95 × 560.04
  4. Step 4: Simplify right side
    704.16x = 589,134.08
  5. Step 5: Solve for x
    x = 589,134.08/704.16
  6. Step 6: Final answer
    x = 836.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.