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Finding the Fourth Proportional to 1,024.19, 1,535.36 and 374.77

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Solution

The fourth proportional to 1,024.19, 1,535.36 and 374.77 is: 561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.19 : 1,535.36 = 374.77 : x
  2. Step 2: Convert to fraction form
    1,024.19/1,535.36 = 374.77/x
  3. Step 3: Cross multiply
    1,024.19x = 1,535.36 × 374.77
  4. Step 4: Simplify right side
    1,024.19x = 575,411.64
  5. Step 5: Solve for x
    x = 575,411.64/1,024.19
  6. Step 6: Final answer
    x = 561.82

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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.