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Finding the Fourth Proportional to 1,152.35, 1,590.35 and 655.14

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Solution

The fourth proportional to 1,152.35, 1,590.35 and 655.14 is: 904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.35 : 1,590.35 = 655.14 : x
  2. Step 2: Convert to fraction form
    1,152.35/1,590.35 = 655.14/x
  3. Step 3: Cross multiply
    1,152.35x = 1,590.35 × 655.14
  4. Step 4: Simplify right side
    1,152.35x = 1,041,901.90
  5. Step 5: Solve for x
    x = 1,041,901.90/1,152.35
  6. Step 6: Final answer
    x = 904.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.