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Finding the Fourth Proportional to 1,048.40, 1,572.64 and 355.10

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Solution

The fourth proportional to 1,048.40, 1,572.64 and 355.10 is: 532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.40 : 1,572.64 = 355.10 : x
  2. Step 2: Convert to fraction form
    1,048.40/1,572.64 = 355.10/x
  3. Step 3: Cross multiply
    1,048.40x = 1,572.64 × 355.10
  4. Step 4: Simplify right side
    1,048.40x = 558,444.46
  5. Step 5: Solve for x
    x = 558,444.46/1,048.40
  6. Step 6: Final answer
    x = 532.66

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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.