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Finding the Fourth Proportional to 1,157.83, 1,737.11 and 464.88

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Solution

The fourth proportional to 1,157.83, 1,737.11 and 464.88 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.83 : 1,737.11 = 464.88 : x
  2. Step 2: Convert to fraction form
    1,157.83/1,737.11 = 464.88/x
  3. Step 3: Cross multiply
    1,157.83x = 1,737.11 × 464.88
  4. Step 4: Simplify right side
    1,157.83x = 807,547.70
  5. Step 5: Solve for x
    x = 807,547.70/1,157.83
  6. Step 6: Final answer
    x = 697.47

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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.