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Finding the Fourth Proportional to 900.41, 1,242.59 and 507.40

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Solution

The fourth proportional to 900.41, 1,242.59 and 507.40 is: 700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.41 : 1,242.59 = 507.40 : x
  2. Step 2: Convert to fraction form
    900.41/1,242.59 = 507.40/x
  3. Step 3: Cross multiply
    900.41x = 1,242.59 × 507.40
  4. Step 4: Simplify right side
    900.41x = 630,484.52
  5. Step 5: Solve for x
    x = 630,484.52/900.41
  6. Step 6: Final answer
    x = 700.22

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