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Finding the Fourth Proportional to 1,526.64, 2,290.50 and 661.02

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Solution

The fourth proportional to 1,526.64, 2,290.50 and 661.02 is: 991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.64 : 2,290.50 = 661.02 : x
  2. Step 2: Convert to fraction form
    1,526.64/2,290.50 = 661.02/x
  3. Step 3: Cross multiply
    1,526.64x = 2,290.50 × 661.02
  4. Step 4: Simplify right side
    1,526.64x = 1,514,066.31
  5. Step 5: Solve for x
    x = 1,514,066.31/1,526.64
  6. Step 6: Final answer
    x = 991.76

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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.