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Finding the Fourth Proportional to 1,048.34, 1,446.66 and 655.58

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Solution

The fourth proportional to 1,048.34, 1,446.66 and 655.58 is: 904.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.34 : 1,446.66 = 655.58 : x
  2. Step 2: Convert to fraction form
    1,048.34/1,446.66 = 655.58/x
  3. Step 3: Cross multiply
    1,048.34x = 1,446.66 × 655.58
  4. Step 4: Simplify right side
    1,048.34x = 948,394.13
  5. Step 5: Solve for x
    x = 948,394.13/1,048.34
  6. Step 6: Final answer
    x = 904.67

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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.