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Finding the Fourth Proportional to 1,303.03, 1,798.52 and 904.72

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Solution

The fourth proportional to 1,303.03, 1,798.52 and 904.72 is: 1,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.03 : 1,798.52 = 904.72 : x
  2. Step 2: Convert to fraction form
    1,303.03/1,798.52 = 904.72/x
  3. Step 3: Cross multiply
    1,303.03x = 1,798.52 × 904.72
  4. Step 4: Simplify right side
    1,303.03x = 1,627,157.01
  5. Step 5: Solve for x
    x = 1,627,157.01/1,303.03
  6. Step 6: Final answer
    x = 1,248.75

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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.