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Finding the Fourth Proportional to 1,035.90, 1,429.58 and 593.93

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Solution

The fourth proportional to 1,035.90, 1,429.58 and 593.93 is: 819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.90 : 1,429.58 = 593.93 : x
  2. Step 2: Convert to fraction form
    1,035.90/1,429.58 = 593.93/x
  3. Step 3: Cross multiply
    1,035.90x = 1,429.58 × 593.93
  4. Step 4: Simplify right side
    1,035.90x = 849,075.51
  5. Step 5: Solve for x
    x = 849,075.51/1,035.90
  6. Step 6: Final answer
    x = 819.65

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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.