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Finding the Fourth Proportional to 1,060.40, 1,588.54 and 596.77

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Solution

The fourth proportional to 1,060.40, 1,588.54 and 596.77 is: 893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.40 : 1,588.54 = 596.77 : x
  2. Step 2: Convert to fraction form
    1,060.40/1,588.54 = 596.77/x
  3. Step 3: Cross multiply
    1,060.40x = 1,588.54 × 596.77
  4. Step 4: Simplify right side
    1,060.40x = 947,985.07
  5. Step 5: Solve for x
    x = 947,985.07/1,060.40
  6. Step 6: Final answer
    x = 893.99

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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.