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Finding the Fourth Proportional to 1,041.66, 1,437.50 and 593.48

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Solution

The fourth proportional to 1,041.66, 1,437.50 and 593.48 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.66 : 1,437.50 = 593.48 : x
  2. Step 2: Convert to fraction form
    1,041.66/1,437.50 = 593.48/x
  3. Step 3: Cross multiply
    1,041.66x = 1,437.50 × 593.48
  4. Step 4: Simplify right side
    1,041.66x = 853,132.58
  5. Step 5: Solve for x
    x = 853,132.58/1,041.66
  6. Step 6: Final answer
    x = 819.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.