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Finding the Fourth Proportional to 653.04, 973.80 and 562.32

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Solution

The fourth proportional to 653.04, 973.80 and 562.32 is: 838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 973.80 = 562.32 : x
  2. Step 2: Convert to fraction form
    653.04/973.80 = 562.32/x
  3. Step 3: Cross multiply
    653.04x = 973.80 × 562.32
  4. Step 4: Simplify right side
    653.04x = 547,587.22
  5. Step 5: Solve for x
    x = 547,587.22/653.04
  6. Step 6: Final answer
    x = 838.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.