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Finding the Fourth Proportional to 1,063.47, 1,595.93 and 370.14

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Solution

The fourth proportional to 1,063.47, 1,595.93 and 370.14 is: 555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.47 : 1,595.93 = 370.14 : x
  2. Step 2: Convert to fraction form
    1,063.47/1,595.93 = 370.14/x
  3. Step 3: Cross multiply
    1,063.47x = 1,595.93 × 370.14
  4. Step 4: Simplify right side
    1,063.47x = 590,711.78
  5. Step 5: Solve for x
    x = 590,711.78/1,063.47
  6. Step 6: Final answer
    x = 555.46

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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.