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Finding the Fourth Proportional to 1,048.30, 1,557.93 and 1,048.30

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Solution

The fourth proportional to 1,048.30, 1,557.93 and 1,048.30 is: 1,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.30 : 1,557.93 = 1,048.30 : x
  2. Step 2: Convert to fraction form
    1,048.30/1,557.93 = 1,048.30/x
  3. Step 3: Cross multiply
    1,048.30x = 1,557.93 × 1,048.30
  4. Step 4: Simplify right side
    1,048.30x = 1,633,178.02
  5. Step 5: Solve for x
    x = 1,633,178.02/1,048.30
  6. Step 6: Final answer
    x = 1,557.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.