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Finding the Fourth Proportional to 749.96, 1,034.64 and 435.18

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Solution

The fourth proportional to 749.96, 1,034.64 and 435.18 is: 600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.96 : 1,034.64 = 435.18 : x
  2. Step 2: Convert to fraction form
    749.96/1,034.64 = 435.18/x
  3. Step 3: Cross multiply
    749.96x = 1,034.64 × 435.18
  4. Step 4: Simplify right side
    749.96x = 450,254.64
  5. Step 5: Solve for x
    x = 450,254.64/749.96
  6. Step 6: Final answer
    x = 600.38

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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.