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Finding the Fourth Proportional to 941.64, 1,410.30 and 507.75

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Solution

The fourth proportional to 941.64, 1,410.30 and 507.75 is: 760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.64 : 1,410.30 = 507.75 : x
  2. Step 2: Convert to fraction form
    941.64/1,410.30 = 507.75/x
  3. Step 3: Cross multiply
    941.64x = 1,410.30 × 507.75
  4. Step 4: Simplify right side
    941.64x = 716,079.83
  5. Step 5: Solve for x
    x = 716,079.83/941.64
  6. Step 6: Final answer
    x = 760.46

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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.