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Finding the Fourth Proportional to 1,497.35, 2,066.81 and 900.28

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Solution

The fourth proportional to 1,497.35, 2,066.81 and 900.28 is: 1,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.35 : 2,066.81 = 900.28 : x
  2. Step 2: Convert to fraction form
    1,497.35/2,066.81 = 900.28/x
  3. Step 3: Cross multiply
    1,497.35x = 2,066.81 × 900.28
  4. Step 4: Simplify right side
    1,497.35x = 1,860,707.71
  5. Step 5: Solve for x
    x = 1,860,707.71/1,497.35
  6. Step 6: Final answer
    x = 1,242.67

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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.