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Finding the Fourth Proportional to 1,146.34, 1,718.10 and 529.21

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Solution

The fourth proportional to 1,146.34, 1,718.10 and 529.21 is: 793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.34 : 1,718.10 = 529.21 : x
  2. Step 2: Convert to fraction form
    1,146.34/1,718.10 = 529.21/x
  3. Step 3: Cross multiply
    1,146.34x = 1,718.10 × 529.21
  4. Step 4: Simplify right side
    1,146.34x = 909,235.70
  5. Step 5: Solve for x
    x = 909,235.70/1,146.34
  6. Step 6: Final answer
    x = 793.16

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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.