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Finding the Fourth Proportional to 735.77, 1,014.75 and 525.56

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Solution

The fourth proportional to 735.77, 1,014.75 and 525.56 is: 724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.77 : 1,014.75 = 525.56 : x
  2. Step 2: Convert to fraction form
    735.77/1,014.75 = 525.56/x
  3. Step 3: Cross multiply
    735.77x = 1,014.75 × 525.56
  4. Step 4: Simplify right side
    735.77x = 533,312.01
  5. Step 5: Solve for x
    x = 533,312.01/735.77
  6. Step 6: Final answer
    x = 724.84

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.