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Finding the Fourth Proportional to 1,018.68, 1,526.22 and 469.72

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Solution

The fourth proportional to 1,018.68, 1,526.22 and 469.72 is: 703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.68 : 1,526.22 = 469.72 : x
  2. Step 2: Convert to fraction form
    1,018.68/1,526.22 = 469.72/x
  3. Step 3: Cross multiply
    1,018.68x = 1,526.22 × 469.72
  4. Step 4: Simplify right side
    1,018.68x = 716,896.06
  5. Step 5: Solve for x
    x = 716,896.06/1,018.68
  6. Step 6: Final answer
    x = 703.75

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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.