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Finding the Fourth Proportional to 1,001.12, 1,497.60 and 846.08

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Solution

The fourth proportional to 1,001.12, 1,497.60 and 846.08 is: 1,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.12 : 1,497.60 = 846.08 : x
  2. Step 2: Convert to fraction form
    1,001.12/1,497.60 = 846.08/x
  3. Step 3: Cross multiply
    1,001.12x = 1,497.60 × 846.08
  4. Step 4: Simplify right side
    1,001.12x = 1,267,089.41
  5. Step 5: Solve for x
    x = 1,267,089.41/1,001.12
  6. Step 6: Final answer
    x = 1,265.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.