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Finding the Fourth Proportional to 900.39, 1,242.24 and 507.33

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Solution

The fourth proportional to 900.39, 1,242.24 and 507.33 is: 699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.39 : 1,242.24 = 507.33 : x
  2. Step 2: Convert to fraction form
    900.39/1,242.24 = 507.33/x
  3. Step 3: Cross multiply
    900.39x = 1,242.24 × 507.33
  4. Step 4: Simplify right side
    900.39x = 630,225.62
  5. Step 5: Solve for x
    x = 630,225.62/900.39
  6. Step 6: Final answer
    x = 699.95

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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.