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Finding the Fourth Proportional to 1,535.90, 2,303.63 and 562.01

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Solution

The fourth proportional to 1,535.90, 2,303.63 and 562.01 is: 842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.90 : 2,303.63 = 562.01 : x
  2. Step 2: Convert to fraction form
    1,535.90/2,303.63 = 562.01/x
  3. Step 3: Cross multiply
    1,535.90x = 2,303.63 × 562.01
  4. Step 4: Simplify right side
    1,535.90x = 1,294,648.77
  5. Step 5: Solve for x
    x = 1,294,648.77/1,535.90
  6. Step 6: Final answer
    x = 842.92

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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.