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Finding the Fourth Proportional to 1,035.02, 1,428.35 and 592.93

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Solution

The fourth proportional to 1,035.02, 1,428.35 and 592.93 is: 818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.02 : 1,428.35 = 592.93 : x
  2. Step 2: Convert to fraction form
    1,035.02/1,428.35 = 592.93/x
  3. Step 3: Cross multiply
    1,035.02x = 1,428.35 × 592.93
  4. Step 4: Simplify right side
    1,035.02x = 846,911.57
  5. Step 5: Solve for x
    x = 846,911.57/1,035.02
  6. Step 6: Final answer
    x = 818.26

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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.