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Finding the Fourth Proportional to 1,688.02, 2,532.02 and 592.11

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Solution

The fourth proportional to 1,688.02, 2,532.02 and 592.11 is: 888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.02 : 2,532.02 = 592.11 : x
  2. Step 2: Convert to fraction form
    1,688.02/2,532.02 = 592.11/x
  3. Step 3: Cross multiply
    1,688.02x = 2,532.02 × 592.11
  4. Step 4: Simplify right side
    1,688.02x = 1,499,231.40
  5. Step 5: Solve for x
    x = 1,499,231.40/1,688.02
  6. Step 6: Final answer
    x = 888.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.