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Finding the Fourth Proportional to 1,573.29, 2,358.95 and 598.32

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Solution

The fourth proportional to 1,573.29, 2,358.95 and 598.32 is: 897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.29 : 2,358.95 = 598.32 : x
  2. Step 2: Convert to fraction form
    1,573.29/2,358.95 = 598.32/x
  3. Step 3: Cross multiply
    1,573.29x = 2,358.95 × 598.32
  4. Step 4: Simplify right side
    1,573.29x = 1,411,403.97
  5. Step 5: Solve for x
    x = 1,411,403.97/1,573.29
  6. Step 6: Final answer
    x = 897.10

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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.