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Finding the Fourth Proportional to 1,312.02, 1,809.72 and 787.50

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Solution

The fourth proportional to 1,312.02, 1,809.72 and 787.50 is: 1,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,809.72 = 787.50 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,809.72 = 787.50/x
  3. Step 3: Cross multiply
    1,312.02x = 1,809.72 × 787.50
  4. Step 4: Simplify right side
    1,312.02x = 1,425,154.50
  5. Step 5: Solve for x
    x = 1,425,154.50/1,312.02
  6. Step 6: Final answer
    x = 1,086.23

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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.