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Finding the Fourth Proportional to 1,314.13, 1,970.76 and 533.93

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Solution

The fourth proportional to 1,314.13, 1,970.76 and 533.93 is: 800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.13 : 1,970.76 = 533.93 : x
  2. Step 2: Convert to fraction form
    1,314.13/1,970.76 = 533.93/x
  3. Step 3: Cross multiply
    1,314.13x = 1,970.76 × 533.93
  4. Step 4: Simplify right side
    1,314.13x = 1,052,247.89
  5. Step 5: Solve for x
    x = 1,052,247.89/1,314.13
  6. Step 6: Final answer
    x = 800.72

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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.