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Finding the Fourth Proportional to 1,509, 2,263.47 and 534.87

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Solution

The fourth proportional to 1,509, 2,263.47 and 534.87 is: 802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509 : 2,263.47 = 534.87 : x
  2. Step 2: Convert to fraction form
    1,509/2,263.47 = 534.87/x
  3. Step 3: Cross multiply
    1,509x = 2,263.47 × 534.87
  4. Step 4: Simplify right side
    1,509x = 1,210,662.20
  5. Step 5: Solve for x
    x = 1,210,662.20/1,509
  6. Step 6: Final answer
    x = 802.29

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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.