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Finding the Fourth Proportional to 1,572.06, 2,358.05 and 532.05

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Solution

The fourth proportional to 1,572.06, 2,358.05 and 532.05 is: 798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.06 : 2,358.05 = 532.05 : x
  2. Step 2: Convert to fraction form
    1,572.06/2,358.05 = 532.05/x
  3. Step 3: Cross multiply
    1,572.06x = 2,358.05 × 532.05
  4. Step 4: Simplify right side
    1,572.06x = 1,254,602.26
  5. Step 5: Solve for x
    x = 1,254,602.26/1,572.06
  6. Step 6: Final answer
    x = 798.06

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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.