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Finding the Fourth Proportional to 903.60, 1,355.13 and 470.52

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Solution

The fourth proportional to 903.60, 1,355.13 and 470.52 is: 705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.60 : 1,355.13 = 470.52 : x
  2. Step 2: Convert to fraction form
    903.60/1,355.13 = 470.52/x
  3. Step 3: Cross multiply
    903.60x = 1,355.13 × 470.52
  4. Step 4: Simplify right side
    903.60x = 637,615.77
  5. Step 5: Solve for x
    x = 637,615.77/903.60
  6. Step 6: Final answer
    x = 705.64

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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.