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Finding the Fourth Proportional to 900.89, 1,242.95 and 507.84

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Solution

The fourth proportional to 900.89, 1,242.95 and 507.84 is: 700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.89 : 1,242.95 = 507.84 : x
  2. Step 2: Convert to fraction form
    900.89/1,242.95 = 507.84/x
  3. Step 3: Cross multiply
    900.89x = 1,242.95 × 507.84
  4. Step 4: Simplify right side
    900.89x = 631,212.53
  5. Step 5: Solve for x
    x = 631,212.53/900.89
  6. Step 6: Final answer
    x = 700.66

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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.