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Finding the Fourth Proportional to 904.74, 1,357.10 and 598.52

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Solution

The fourth proportional to 904.74, 1,357.10 and 598.52 is: 897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.74 : 1,357.10 = 598.52 : x
  2. Step 2: Convert to fraction form
    904.74/1,357.10 = 598.52/x
  3. Step 3: Cross multiply
    904.74x = 1,357.10 × 598.52
  4. Step 4: Simplify right side
    904.74x = 812,251.49
  5. Step 5: Solve for x
    x = 812,251.49/904.74
  6. Step 6: Final answer
    x = 897.77

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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.