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Finding the Fourth Proportional to 1,157.17, 1,735.08 and 507.19

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Solution

The fourth proportional to 1,157.17, 1,735.08 and 507.19 is: 760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.17 : 1,735.08 = 507.19 : x
  2. Step 2: Convert to fraction form
    1,157.17/1,735.08 = 507.19/x
  3. Step 3: Cross multiply
    1,157.17x = 1,735.08 × 507.19
  4. Step 4: Simplify right side
    1,157.17x = 880,015.23
  5. Step 5: Solve for x
    x = 880,015.23/1,157.17
  6. Step 6: Final answer
    x = 760.49

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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.