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Finding the Fourth Proportional to 1,063.34, 1,465.85 and 747.60

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Solution

The fourth proportional to 1,063.34, 1,465.85 and 747.60 is: 1,030.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.34 : 1,465.85 = 747.60 : x
  2. Step 2: Convert to fraction form
    1,063.34/1,465.85 = 747.60/x
  3. Step 3: Cross multiply
    1,063.34x = 1,465.85 × 747.60
  4. Step 4: Simplify right side
    1,063.34x = 1,095,858.90
  5. Step 5: Solve for x
    x = 1,095,858.90/1,063.34
  6. Step 6: Final answer
    x = 1,030.58

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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.