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Finding the Fourth Proportional to 1,156.55, 1,734.41 and 924.89

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Solution

The fourth proportional to 1,156.55, 1,734.41 and 924.89 is: 1,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.55 : 1,734.41 = 924.89 : x
  2. Step 2: Convert to fraction form
    1,156.55/1,734.41 = 924.89/x
  3. Step 3: Cross multiply
    1,156.55x = 1,734.41 × 924.89
  4. Step 4: Simplify right side
    1,156.55x = 1,604,132.11
  5. Step 5: Solve for x
    x = 1,604,132.11/1,156.55
  6. Step 6: Final answer
    x = 1,387.00

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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.