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Finding the Fourth Proportional to 1,684.56, 2,526.72 and 530.16

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Solution

The fourth proportional to 1,684.56, 2,526.72 and 530.16 is: 795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.56 : 2,526.72 = 530.16 : x
  2. Step 2: Convert to fraction form
    1,684.56/2,526.72 = 530.16/x
  3. Step 3: Cross multiply
    1,684.56x = 2,526.72 × 530.16
  4. Step 4: Simplify right side
    1,684.56x = 1,339,565.88
  5. Step 5: Solve for x
    x = 1,339,565.88/1,684.56
  6. Step 6: Final answer
    x = 795.20

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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.