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Finding the Fourth Proportional to 903.47, 1,357.26 and 595.93

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Solution

The fourth proportional to 903.47, 1,357.26 and 595.93 is: 895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.47 : 1,357.26 = 595.93 : x
  2. Step 2: Convert to fraction form
    903.47/1,357.26 = 595.93/x
  3. Step 3: Cross multiply
    903.47x = 1,357.26 × 595.93
  4. Step 4: Simplify right side
    903.47x = 808,825.17
  5. Step 5: Solve for x
    x = 808,825.17/903.47
  6. Step 6: Final answer
    x = 895.24

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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.