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Finding the Fourth Proportional to 900.32, 1,242.22 and 507.20

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Solution

The fourth proportional to 900.32, 1,242.22 and 507.20 is: 699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.32 : 1,242.22 = 507.20 : x
  2. Step 2: Convert to fraction form
    900.32/1,242.22 = 507.20/x
  3. Step 3: Cross multiply
    900.32x = 1,242.22 × 507.20
  4. Step 4: Simplify right side
    900.32x = 630,053.98
  5. Step 5: Solve for x
    x = 630,053.98/900.32
  6. Step 6: Final answer
    x = 699.81

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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.