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Finding the Fourth Proportional to 1,526.77, 2,290.76 and 649.47

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Solution

The fourth proportional to 1,526.77, 2,290.76 and 649.47 is: 974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.77 : 2,290.76 = 649.47 : x
  2. Step 2: Convert to fraction form
    1,526.77/2,290.76 = 649.47/x
  3. Step 3: Cross multiply
    1,526.77x = 2,290.76 × 649.47
  4. Step 4: Simplify right side
    1,526.77x = 1,487,779.90
  5. Step 5: Solve for x
    x = 1,487,779.90/1,526.77
  6. Step 6: Final answer
    x = 974.46

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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.