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Finding the Fourth Proportional to 1,303.04, 1,953.84 and 534.08

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Solution

The fourth proportional to 1,303.04, 1,953.84 and 534.08 is: 800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.04 : 1,953.84 = 534.08 : x
  2. Step 2: Convert to fraction form
    1,303.04/1,953.84 = 534.08/x
  3. Step 3: Cross multiply
    1,303.04x = 1,953.84 × 534.08
  4. Step 4: Simplify right side
    1,303.04x = 1,043,506.87
  5. Step 5: Solve for x
    x = 1,043,506.87/1,303.04
  6. Step 6: Final answer
    x = 800.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.