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Finding the Fourth Proportional to 1,684.42, 2,526.62 and 530.17

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Solution

The fourth proportional to 1,684.42, 2,526.62 and 530.17 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.42 : 2,526.62 = 530.17 : x
  2. Step 2: Convert to fraction form
    1,684.42/2,526.62 = 530.17/x
  3. Step 3: Cross multiply
    1,684.42x = 2,526.62 × 530.17
  4. Step 4: Simplify right side
    1,684.42x = 1,339,525.49
  5. Step 5: Solve for x
    x = 1,339,525.49/1,684.42
  6. Step 6: Final answer
    x = 795.25

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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.