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Finding the Fourth Proportional to 1,129.52, 1,559.63 and 751.77

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Solution

The fourth proportional to 1,129.52, 1,559.63 and 751.77 is: 1,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.52 : 1,559.63 = 751.77 : x
  2. Step 2: Convert to fraction form
    1,129.52/1,559.63 = 751.77/x
  3. Step 3: Cross multiply
    1,129.52x = 1,559.63 × 751.77
  4. Step 4: Simplify right side
    1,129.52x = 1,172,482.81
  5. Step 5: Solve for x
    x = 1,172,482.81/1,129.52
  6. Step 6: Final answer
    x = 1,038.04

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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.