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Finding the Fourth Proportional to 900.41, 1,242.17 and 597.63

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Solution

The fourth proportional to 900.41, 1,242.17 and 597.63 is: 824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.41 : 1,242.17 = 597.63 : x
  2. Step 2: Convert to fraction form
    900.41/1,242.17 = 597.63/x
  3. Step 3: Cross multiply
    900.41x = 1,242.17 × 597.63
  4. Step 4: Simplify right side
    900.41x = 742,358.06
  5. Step 5: Solve for x
    x = 742,358.06/900.41
  6. Step 6: Final answer
    x = 824.47

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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.